Atkin-Lehner |
7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811o |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
938015477 = 77 · 17 · 67 |
Discriminant |
Eigenvalues |
-2 0 0 7- -3 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-245,-86] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:24:1] [-14:143:8] |
Generators of the group modulo torsion |
j |
13824000/7973 |
j-invariant |
L |
4.9443009735214 |
L(r)(E,1)/r! |
Ω |
1.3156442646631 |
Real period |
R |
0.9395208694163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973d1 |
Quadratic twists by: -7 |