Atkin-Lehner |
2- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
49852a |
Isogeny class |
Conductor |
49852 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-774879107459097344 = -1 · 28 · 1111 · 1032 |
Discriminant |
Eigenvalues |
2- -1 -1 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,157139,34859849] |
[a1,a2,a3,a4,a6] |
j |
946186674176/1708590059 |
j-invariant |
L |
1.5586979073899 |
L(r)(E,1)/r! |
Ω |
0.19483723857582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4532a1 |
Quadratic twists by: -11 |