Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650o |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
25088413952000000 = 214 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73526,-906552] |
[a1,a2,a3,a4,a6] |
j |
23912763841/13647872 |
j-invariant |
L |
0.62763749447374 |
L(r)(E,1)/r! |
Ω |
0.31381874723218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666m1 5950b1 |
Quadratic twists by: 5 -7 |