Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090l |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112020480 |
Modular degree for the optimal curve |
Δ |
4.9068359891289E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1996929252,34329892004496] |
[a1,a2,a3,a4,a6] |
Generators |
[2858274042746320:1191520778493699324:15531437375] |
Generators of the group modulo torsion |
j |
5949010462538271898545049/3314625947988102720 |
j-invariant |
L |
4.7154489686128 |
L(r)(E,1)/r! |
Ω |
0.05176131586182 |
Real period |
R |
22.774966632217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830c1 |
Quadratic twists by: -23 |