Atkin-Lehner |
7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
66913h |
Isogeny class |
Conductor |
66913 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6432 |
Modular degree for the optimal curve |
Δ |
-66913 = -1 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
1 -2 -4 7- 11- -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-1:8] [3:1:1] |
Generators of the group modulo torsion |
j |
-14641/553 |
j-invariant |
L |
6.076718757168 |
L(r)(E,1)/r! |
Ω |
1.5185138391248 |
Real period |
R |
4.0017539521761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66913b1 |
Quadratic twists by: -11 |