Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540c |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-13991855328000 = -1 · 28 · 33 · 53 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5232,-105692] |
[a1,a2,a3,a4,a6] |
j |
2291517554688/2024284625 |
j-invariant |
L |
2.3252120607785 |
L(r)(E,1)/r! |
Ω |
0.38753534346224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45540d2 |
Quadratic twists by: -3 |