Atkin-Lehner |
5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112225b |
Isogeny class |
Conductor |
112225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2569584 |
Modular degree for the optimal curve |
Δ |
-680163359907373675 = -1 · 52 · 679 |
Discriminant |
Eigenvalues |
1 -2 5+ 4 0 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2976301,-1976993697] |
[a1,a2,a3,a4,a6] |
Generators |
[5053099196955069063390687345999747445361:188703678641007746769050544276616056031893:1826702894367475891476716081742572737] |
Generators of the group modulo torsion |
j |
-4286875 |
j-invariant |
L |
6.6193834450333 |
L(r)(E,1)/r! |
Ω |
0.057470408795725 |
Real period |
R |
57.589493303949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112225h1 112225c1 |
Quadratic twists by: 5 -67 |