Atkin-Lehner |
3- 5+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57195l |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
4711344039225 = 314 · 52 · 312 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49973,-4286028] |
[a1,a2,a3,a4,a6] |
Generators |
[-28182:17033:216] |
Generators of the group modulo torsion |
j |
18931904379338761/6462749025 |
j-invariant |
L |
4.0895932070467 |
L(r)(E,1)/r! |
Ω |
0.31931937849927 |
Real period |
R |
6.4036094932668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19065c1 |
Quadratic twists by: -3 |