Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25900c |
Isogeny class |
Conductor |
25900 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-485827343750000 = -1 · 24 · 511 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 0 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121758,-16427887] |
[a1,a2,a3,a4,a6] |
Generators |
[448:4375:1] |
Generators of the group modulo torsion |
j |
-798508948769536/1943309375 |
j-invariant |
L |
6.4146163450117 |
L(r)(E,1)/r! |
Ω |
0.12777078616003 |
Real period |
R |
0.83673487210887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600bb1 5180d1 |
Quadratic twists by: -4 5 |