Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715a |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2881852843905 = 33 · 5 · 79 · 232 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4125,62096] |
[a1,a2,a3,a4,a6] |
j |
2444008923/907235 |
j-invariant |
L |
1.4697452095644 |
L(r)(E,1)/r! |
Ω |
0.73487260461126 |
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 |
50715f1 7245e1 |
Quadratic twists by: -3 -7 |