Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912v |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1575555408 = 24 · 33 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13687,-620908] |
[a1,a2,a3,a4,a6] |
Generators |
[54220:1084272:125] |
Generators of the group modulo torsion |
j |
150651000832/837 |
j-invariant |
L |
8.9492699700868 |
L(r)(E,1)/r! |
Ω |
0.44138745791861 |
Real period |
R |
6.7584385023478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456h1 1488c1 |
Quadratic twists by: -4 -7 |