Atkin-Lehner |
5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13825g |
Isogeny class |
Conductor |
13825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
431409125 = 53 · 7 · 793 |
Discriminant |
Eigenvalues |
-2 2 5- 7- 3 5 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8198,288448] |
[a1,a2,a3,a4,a6] |
Generators |
[52:7:1] |
Generators of the group modulo torsion |
j |
487517731057664/3451273 |
j-invariant |
L |
3.7781384603821 |
L(r)(E,1)/r! |
Ω |
1.4985189691662 |
Real period |
R |
1.2606241689701 |
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 |
124425ba1 13825d1 96775q1 |
Quadratic twists by: -3 5 -7 |