Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1518d |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
12546225115776 = 27 · 318 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 11- 3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-143291,20817117] |
[a1,a2,a3,a4,a6] |
j |
325375754708447065657/12546225115776 |
j-invariant |
L |
1.3333851464209 |
L(r)(E,1)/r! |
Ω |
0.66669257321044 |
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 |
12144bi1 48576bb1 4554bd1 37950cz1 |
Quadratic twists by: -4 8 -3 5 |