Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536ba |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-389173248 = -1 · 212 · 35 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -1 -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,3455] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-12:1] [-13:84:1] |
Generators of the group modulo torsion |
j |
-2197000000/95013 |
j-invariant |
L |
9.7468043943047 |
L(r)(E,1)/r! |
Ω |
1.6744559453845 |
Real period |
R |
0.29104391850891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536a1 75072j1 112608l1 |
Quadratic twists by: -4 8 -3 |