Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
26130bb |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-18343260 = -1 · 22 · 34 · 5 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71,-315] |
[a1,a2,a3,a4,a6] |
Generators |
[158:545:8] |
Generators of the group modulo torsion |
j |
-39616946929/18343260 |
j-invariant |
L |
8.0414112057221 |
L(r)(E,1)/r! |
Ω |
0.80437399969604 |
Real period |
R |
2.4992762100592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78390bd1 |
Quadratic twists by: -3 |