Atkin-Lehner |
2+ 3+ 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746b |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
117733534583808 = 210 · 3 · 112 · 132 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12305,-64491] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:257:1] [-30:543:1] |
Generators of the group modulo torsion |
j |
206074242532329625/117733534583808 |
j-invariant |
L |
4.9685351099184 |
L(r)(E,1)/r! |
Ω |
0.49089539886474 |
Real period |
R |
1.2651715419946 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238cn2 |
Quadratic twists by: -3 |