Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360v |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
30972671875000000 = 26 · 512 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 2 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97687,8149116] |
[a1,a2,a3,a4,a6] |
Generators |
[1352:48450:1] |
Generators of the group modulo torsion |
j |
1610846120831102784/483947998046875 |
j-invariant |
L |
7.4872050221476 |
L(r)(E,1)/r! |
Ω |
0.34413005835759 |
Real period |
R |
1.2087169484572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360t1 51680e2 |
Quadratic twists by: -4 8 |