Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240v |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-5872777344000 = -1 · 210 · 311 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 3 6 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3027,133054] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1620:1] |
Generators of the group modulo torsion |
j |
-4108974916/7867125 |
j-invariant |
L |
8.6976003786854 |
L(r)(E,1)/r! |
Ω |
0.67562083915246 |
Real period |
R |
0.53639555664871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31080y1 |
Quadratic twists by: -3 |