Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050b |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14098265625000000 = 26 · 3 · 512 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-478275,-127381875] |
[a1,a2,a3,a4,a6] |
Generators |
[32250:840775:27] |
Generators of the group modulo torsion |
j |
774351503748971569/902289000000 |
j-invariant |
L |
2.5134979187325 |
L(r)(E,1)/r! |
Ω |
0.18155591461646 |
Real period |
R |
6.9221042014586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400de3 30150ci3 2010j3 |
Quadratic twists by: -4 -3 5 |