Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128316b |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-430995371284733184 = -1 · 28 · 34 · 177 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 1 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,121284,27040392] |
[a1,a2,a3,a4,a6] |
Generators |
[3321:192474:1] |
Generators of the group modulo torsion |
j |
31929871664/69749181 |
j-invariant |
L |
4.5479536024126 |
L(r)(E,1)/r! |
Ω |
0.20673226921457 |
Real period |
R |
1.8332703544554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998172546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7548f1 |
Quadratic twists by: 17 |