Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fm |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
15730593514453125 = 36 · 58 · 73 · 115 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11+ -5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-78750,-5994844] |
[a1,a2,a3,a4,a6] |
j |
552960000/161051 |
j-invariant |
L |
1.1654050479327 |
L(r)(E,1)/r! |
Ω |
0.29135107390073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475p1 121275da1 121275fk1 |
Quadratic twists by: -3 5 -7 |