Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700x |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28200960 |
Modular degree for the optimal curve |
Δ |
-9.008504529792E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 2 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94021333,-575870974463] |
[a1,a2,a3,a4,a6] |
Generators |
[2464486987167369235846728005943208751488633339744218474367696273443823237813722584826626838024:322878011294677434515459599117748562236331895106676451886019761923353253441567264284332628762227:109602920665760844789724307208170738785099090307135840148548072020665296902461036540429769] |
Generators of the group modulo torsion |
j |
-38081092648960/37321507107 |
j-invariant |
L |
6.7199399363592 |
L(r)(E,1)/r! |
Ω |
0.023314684896229 |
Real period |
R |
144.11389144372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86700bn1 5100s1 |
Quadratic twists by: 5 17 |