Atkin-Lehner |
2- 5+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650u |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-4017200 = -1 · 24 · 52 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11+ -6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,27,91] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-12:1] |
Generators of the group modulo torsion |
j |
86869895/160688 |
j-invariant |
L |
4.2470111191625 |
L(r)(E,1)/r! |
Ω |
1.7010242959412 |
Real period |
R |
0.31209218537438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45650k1 |
Quadratic twists by: 5 |