Atkin-Lehner |
2+ 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232b |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29203140550461696 = 28 · 312 · 74 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157612,22689940] |
[a1,a2,a3,a4,a6] |
Generators |
[7670:670800:1] |
Generators of the group modulo torsion |
j |
1691431219457284048/114074767775241 |
j-invariant |
L |
5.1040808487192 |
L(r)(E,1)/r! |
Ω |
0.36579916184957 |
Real period |
R |
6.9766163799944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464q2 |
Quadratic twists by: -4 |