Atkin-Lehner |
5+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
115885f |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
222208 |
Modular degree for the optimal curve |
Δ |
-95436280555 = -1 · 5 · 79 · 11 · 43 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 11- -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13491,607837] |
[a1,a2,a3,a4,a6] |
Generators |
[2361:8047:27] |
Generators of the group modulo torsion |
j |
-6729859072/2365 |
j-invariant |
L |
6.7437483487615 |
L(r)(E,1)/r! |
Ω |
1.0477577105658 |
Real period |
R |
3.2181811840909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115885m1 |
Quadratic twists by: -7 |