Atkin-Lehner |
2- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23312f |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
26366058496 = 213 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -1 3 1 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-744,496] |
[a1,a2,a3,a4,a6] |
j |
11134383337/6437026 |
j-invariant |
L |
2.0165293474023 |
L(r)(E,1)/r! |
Ω |
1.0082646737011 |
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 |
2914b1 93248v1 |
Quadratic twists by: -4 8 |