Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11856d |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-61461504 = -1 · 210 · 35 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 6 13+ -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96,-144] |
[a1,a2,a3,a4,a6] |
j |
94559612/60021 |
j-invariant |
L |
2.2619893267005 |
L(r)(E,1)/r! |
Ω |
1.1309946633503 |
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 |
5928m1 47424do1 35568o1 |
Quadratic twists by: -4 8 -3 |