Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090z |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-493359207270300 = -1 · 22 · 32 · 52 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9246,1013152] |
[a1,a2,a3,a4,a6] |
j |
590589719/3332700 |
j-invariant |
L |
3.0258848666273 |
L(r)(E,1)/r! |
Ω |
0.37823563851731 |
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 |
4830m1 |
Quadratic twists by: -23 |