Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950bc |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.9243077358398E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20787192,36471654216] |
[a1,a2,a3,a4,a6] |
Generators |
[-5235:45111:1] |
Generators of the group modulo torsion |
j |
87209470930780783801/34452084375000 |
j-invariant |
L |
3.8105077014377 |
L(r)(E,1)/r! |
Ω |
0.16591863617499 |
Real period |
R |
5.7415305918662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650bf2 6390q2 |
Quadratic twists by: -3 5 |