Atkin-Lehner |
2- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97006o |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
1.5881862929387E+19 |
Discriminant |
Eigenvalues |
2- 1 1 7- 0 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1136275,-425041631] |
[a1,a2,a3,a4,a6] |
Generators |
[-714:5089:1] |
Generators of the group modulo torsion |
j |
33613518667426489/3290344185856 |
j-invariant |
L |
13.469225924176 |
L(r)(E,1)/r! |
Ω |
0.14714788870601 |
Real period |
R |
1.1735294682491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462b1 |
Quadratic twists by: 13 |