Atkin-Lehner |
2- 3+ 5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370n |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
156986572800 = 216 · 3 · 52 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49990,4281155] |
[a1,a2,a3,a4,a6] |
j |
13815724531865297761/156986572800 |
j-invariant |
L |
3.7182776109247 |
L(r)(E,1)/r! |
Ω |
0.92956940273117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70110e1 116850bc1 |
Quadratic twists by: -3 5 |