Atkin-Lehner |
5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025n |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
150541015625 = 59 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 11+ 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3805,-87428] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:61:1] |
Generators of the group modulo torsion |
j |
3118535181/77077 |
j-invariant |
L |
2.6875336966508 |
L(r)(E,1)/r! |
Ω |
0.60879932455424 |
Real period |
R |
2.2072410302185 |
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 |
25025t1 |
Quadratic twists by: 5 |