Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850fb |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
190 |
Product of Tamagawa factors cp |
deg |
15759360 |
Modular degree for the optimal curve |
Δ |
3.4247932279824E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40580330,-99090303703] |
[a1,a2,a3,a4,a6] |
Generators |
[-3735:20911:1] |
Generators of the group modulo torsion |
j |
648817971720191270353/3006677182316544 |
j-invariant |
L |
11.540968896125 |
L(r)(E,1)/r! |
Ω |
0.059833136725537 |
Real period |
R |
1.015188989815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950w1 4554m1 |
Quadratic twists by: -3 5 |