Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090ba |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
170311680 |
Modular degree for the optimal curve |
Δ |
9.0023908452605E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1803444329,25701613326956] |
[a1,a2,a3,a4,a6] |
j |
4381924769947287308715481/608122186185572352000 |
j-invariant |
L |
1.827285612799 |
L(r)(E,1)/r! |
Ω |
0.032630114592491 |
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 |
4830n1 |
Quadratic twists by: -23 |