Atkin-Lehner |
2+ 3+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746i |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.9774966357673E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2117122,-1126700300] |
[a1,a2,a3,a4,a6] |
Generators |
[-684:1750:1] |
Generators of the group modulo torsion |
j |
1049449845748139617740841/59774966357673295872 |
j-invariant |
L |
1.5693599531152 |
L(r)(E,1)/r! |
Ω |
0.12560411642083 |
Real period |
R |
3.1236236475264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238cf2 |
Quadratic twists by: -3 |