Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400da |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-13144256000000 = -1 · 212 · 56 · 593 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 0 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51700,-4528000] |
[a1,a2,a3,a4,a6] |
Generators |
[153460620:6236944516:91125] |
Generators of the group modulo torsion |
j |
-238789577664/205379 |
j-invariant |
L |
11.118061048952 |
L(r)(E,1)/r! |
Ω |
0.1582976704284 |
Real period |
R |
11.705858785116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400ch1 47200f1 3776z1 |
Quadratic twists by: -4 8 5 |