Atkin-Lehner |
2- 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544v |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-3.8057160852816E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,268461,-291939822] |
[a1,a2,a3,a4,a6] |
j |
26540926689789/472046895104 |
j-invariant |
L |
4.7955319856272 |
L(r)(E,1)/r! |
Ω |
0.099906897639391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15318a1 122544r1 |
Quadratic twists by: -4 -3 |