Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bz |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
51993772992 = 26 · 38 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165124,25881490] |
[a1,a2,a3,a4,a6] |
Generators |
[3151:175446:1] |
Generators of the group modulo torsion |
j |
7779952936541447488/812402703 |
j-invariant |
L |
3.7662585334318 |
L(r)(E,1)/r! |
Ω |
0.86629460346774 |
Real period |
R |
4.3475493421702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536dg1 12768v3 76608eg1 |
Quadratic twists by: -4 8 -3 |