Atkin-Lehner |
2- 3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22914k |
Isogeny class |
Conductor |
22914 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
583680 |
Modular degree for the optimal curve |
Δ |
6537712821482815488 = 230 · 314 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1467725,-672894219] |
[a1,a2,a3,a4,a6] |
j |
479656110558473439625/8968055996547072 |
j-invariant |
L |
4.1195779659364 |
L(r)(E,1)/r! |
Ω |
0.13731926553121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638b1 |
Quadratic twists by: -3 |