Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540h |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10506240 |
Modular degree for the optimal curve |
Δ |
-5.652666796875E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91669461,337852318161] |
[a1,a2,a3,a4,a6] |
j |
-2828587024520876916736/18768310546875 |
j-invariant |
L |
1.7547490493638 |
L(r)(E,1)/r! |
Ω |
0.14622913761879 |
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 |
2460d1 |
Quadratic twists by: -7 |