Atkin-Lehner |
3+ 5- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
25365g |
Isogeny class |
Conductor |
25365 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
15853125 = 3 · 55 · 19 · 89 |
Discriminant |
Eigenvalues |
-2 3+ 5- -1 0 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-380,-2722] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:2:1] |
Generators of the group modulo torsion |
j |
6084387721216/15853125 |
j-invariant |
L |
2.1919015124831 |
L(r)(E,1)/r! |
Ω |
1.0812508548953 |
Real period |
R |
0.40543810949318 |
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 |
76095e1 126825u1 |
Quadratic twists by: -3 5 |