Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536a |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
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 |
[183:2452:1] |
Generators of the group modulo torsion |
j |
-2197000000/95013 |
j-invariant |
L |
4.7789531167561 |
L(r)(E,1)/r! |
Ω |
0.52187532714881 |
Real period |
R |
4.5786348464331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536ba1 75072bb1 112608bl1 |
Quadratic twists by: -4 8 -3 |