Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974g |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2996497441392 = -1 · 24 · 3 · 710 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2524,95488] |
[a1,a2,a3,a4,a6] |
Generators |
[36:212:1] |
Generators of the group modulo torsion |
j |
-15124197817/25469808 |
j-invariant |
L |
5.0481070390239 |
L(r)(E,1)/r! |
Ω |
0.71748824053999 |
Real period |
R |
3.5179022832662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282m1 |
Quadratic twists by: -7 |