Atkin-Lehner |
3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389b |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
388680201 = 39 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ -6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11099,452818] |
[a1,a2,a3,a4,a6] |
Generators |
[34:320:1] |
Generators of the group modulo torsion |
j |
7681522194891/19747 |
j-invariant |
L |
3.1824081240594 |
L(r)(E,1)/r! |
Ω |
1.4642253993564 |
Real period |
R |
2.1734414151389 |
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 |
25389a1 |
Quadratic twists by: -3 |