Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
1264g |
Isogeny class |
Conductor |
1264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
1294336 = 214 · 79 |
Discriminant |
Eigenvalues |
2- 1 -1 3 -4 -7 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-172] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
4826809/316 |
j-invariant |
L |
2.9033201023712 |
L(r)(E,1)/r! |
Ω |
1.7498047111426 |
Real period |
R |
0.82961260873371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158b1 5056q1 11376o1 31600r1 |
Quadratic twists by: -4 8 -3 5 |