Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966da |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
53084160 |
Modular degree for the optimal curve |
Δ |
1.5751712069773E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-994725579,-12060749479815] |
[a1,a2,a3,a4,a6] |
Generators |
[-18155:131324:1] |
Generators of the group modulo torsion |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
5.5963667823755 |
L(r)(E,1)/r! |
Ω |
0.026885088813653 |
Real period |
R |
4.3366408545266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138w1 4998bm1 |
Quadratic twists by: -7 17 |