Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25232j |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-125673930752 = -1 · 222 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 -1 -1 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31488,-2161228] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:34304:1] |
Generators of the group modulo torsion |
j |
-842971295994625/30682112 |
j-invariant |
L |
5.6548285468054 |
L(r)(E,1)/r! |
Ω |
0.17919718870729 |
Real period |
R |
3.9445572413822 |
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 |
3154c1 100928v1 |
Quadratic twists by: -4 8 |