Atkin-Lehner |
2+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
45662f |
Isogeny class |
Conductor |
45662 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
7627471804 = 22 · 176 · 79 |
Discriminant |
Eigenvalues |
2+ 1 1 3 -4 -7 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1018,11680] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:149:1] [5:79:1] |
Generators of the group modulo torsion |
j |
4826809/316 |
j-invariant |
L |
8.6521108722402 |
L(r)(E,1)/r! |
Ω |
1.294554423799 |
Real period |
R |
1.6708665764028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
158b1 |
Quadratic twists by: 17 |