Atkin-Lehner |
3+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325a |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
316575703125 = 32 · 57 · 112 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11+ 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5650,158875] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:565:1] |
Generators of the group modulo torsion |
j |
1276935990049/20260845 |
j-invariant |
L |
6.6254516855704 |
L(r)(E,1)/r! |
Ω |
0.96840950857563 |
Real period |
R |
1.7103951445267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065g2 |
Quadratic twists by: 5 |