Atkin-Lehner |
2+ 5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bb |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
6540578506000 = 24 · 53 · 77 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8584,-278160] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:172:1] |
Generators of the group modulo torsion |
j |
594611161929/55594000 |
j-invariant |
L |
4.8705582480768 |
L(r)(E,1)/r! |
Ω |
0.49896444807209 |
Real period |
R |
1.626888867714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630e1 |
Quadratic twists by: -7 |