Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536bc |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
650496 |
Modular degree for the optimal curve |
Δ |
-5249857755553307136 = -1 · 29 · 311 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -4 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,295488,-91171656] |
[a1,a2,a3,a4,a6] |
Generators |
[1431:57132:1] [450:11538:1] |
Generators of the group modulo torsion |
j |
5572779082688438776/10253628428815053 |
j-invariant |
L |
8.2299481902232 |
L(r)(E,1)/r! |
Ω |
0.12663370779138 |
Real period |
R |
0.42201419311263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536d1 75072n1 112608r1 |
Quadratic twists by: -4 8 -3 |