Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610by |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-7182365931786240 = -1 · 212 · 35 · 5 · 137 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8700,4069125] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2025:1] |
Generators of the group modulo torsion |
j |
15087533111/1488015360 |
j-invariant |
L |
11.89564451797 |
L(r)(E,1)/r! |
Ω |
0.32119097686493 |
Real period |
R |
0.77158433836598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8970a1 |
Quadratic twists by: 13 |