Atkin-Lehner |
3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865bi |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13934592 |
Modular degree for the optimal curve |
Δ |
9.0627266440512E+22 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -3 -1 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75599537,-252569836564] |
[a1,a2,a3,a4,a6] |
Generators |
[-4854:4879:1] |
Generators of the group modulo torsion |
j |
232045518586998361/440099578125 |
j-invariant |
L |
3.2364486167075 |
L(r)(E,1)/r! |
Ω |
0.051205811345951 |
Real period |
R |
5.2670593492746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38955i1 116865o1 |
Quadratic twists by: -3 -7 |