Atkin-Lehner |
2- 3+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
91632n |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
484802187264 = 212 · 32 · 23 · 833 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -4 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150437,-22408371] |
[a1,a2,a3,a4,a6] |
Generators |
[532:6917:1] |
Generators of the group modulo torsion |
j |
91924366072803328/118359909 |
j-invariant |
L |
3.2132249864232 |
L(r)(E,1)/r! |
Ω |
0.24241566551476 |
Real period |
R |
6.627511000586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5727h1 |
Quadratic twists by: -4 |