Atkin-Lehner |
2- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61712j |
Isogeny class |
Conductor |
61712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-131323136 = -1 · 28 · 72 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 1 1 7- -1 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2660,-53704] |
[a1,a2,a3,a4,a6] |
Generators |
[5313:71848:27] |
Generators of the group modulo torsion |
j |
-8133770514256/512981 |
j-invariant |
L |
8.8396072906769 |
L(r)(E,1)/r! |
Ω |
0.33237924856663 |
Real period |
R |
6.6487358407126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15428a1 |
Quadratic twists by: -4 |