Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540k |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
22118400 |
Modular degree for the optimal curve |
Δ |
3.3943775727356E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63274941,-191669754870] |
[a1,a2,a3,a4,a6] |
j |
14883694352287298093056/180323333216578125 |
j-invariant |
L |
1.7141926359959 |
L(r)(E,1)/r! |
Ω |
0.05356853481759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220l1 |
Quadratic twists by: -7 |