Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550c |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2643840 |
Modular degree for the optimal curve |
Δ |
-2403420508125000000 = -1 · 26 · 36 · 510 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1332825,596377125] |
[a1,a2,a3,a4,a6] |
Generators |
[906:11103:1] |
Generators of the group modulo torsion |
j |
-11167382937025/102503232 |
j-invariant |
L |
4.0362373642947 |
L(r)(E,1)/r! |
Ω |
0.25938734650544 |
Real period |
R |
3.8901640920921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550kl1 95550eo1 |
Quadratic twists by: 5 -7 |