Atkin-Lehner |
3+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
128865g |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-203408357564115 = -1 · 35 · 5 · 119 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 11- 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6615,-656404] |
[a1,a2,a3,a4,a6] |
Generators |
[7104:118385:27] |
Generators of the group modulo torsion |
j |
18067226624/114818715 |
j-invariant |
L |
3.1406451128629 |
L(r)(E,1)/r! |
Ω |
0.28166719987222 |
Real period |
R |
5.5750989799162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000240383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715e1 |
Quadratic twists by: -11 |