Atkin-Lehner |
2- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200q |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-41543750000 = -1 · 24 · 58 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 -6 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-207408,36287813] |
[a1,a2,a3,a4,a6] |
Generators |
[262:-17:1] [418:4775:1] |
Generators of the group modulo torsion |
j |
-3946956213086464/166175 |
j-invariant |
L |
11.559393660433 |
L(r)(E,1)/r! |
Ω |
0.85064056402953 |
Real period |
R |
1.698630736239 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15640b1 |
Quadratic twists by: 5 |