Atkin-Lehner |
2+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
109504m |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2612736 |
Modular degree for the optimal curve |
Δ |
60200460643991552 = 245 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -4 -2 -5 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1023265,-397894239] |
[a1,a2,a3,a4,a6] |
Generators |
[-918803808:4197491:1601613] |
Generators of the group modulo torsion |
j |
452010552257419849/229646532608 |
j-invariant |
L |
4.4292725435568 |
L(r)(E,1)/r! |
Ω |
0.15011211099794 |
Real period |
R |
14.753215292516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999106472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504t1 3422b1 |
Quadratic twists by: -4 8 |