Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610h |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
12832382812500 = 22 · 33 · 510 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5964,-40052] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:319:1] |
Generators of the group modulo torsion |
j |
71421719949/39062500 |
j-invariant |
L |
5.0751384048399 |
L(r)(E,1)/r! |
Ω |
0.5802620587085 |
Real period |
R |
0.43731434173971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47610be2 47610a2 |
Quadratic twists by: -3 -23 |