Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9150s |
Isogeny class |
Conductor |
9150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-2779312500 = -1 · 22 · 36 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113,2531] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:58:1] |
Generators of the group modulo torsion |
j |
-10218313/177876 |
j-invariant |
L |
5.7038058636566 |
L(r)(E,1)/r! |
Ω |
1.2093403594261 |
Real period |
R |
1.1791150893127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73200co1 27450u1 366f1 |
Quadratic twists by: -4 -3 5 |