Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200fm |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-35712835200000000 = -1 · 213 · 313 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109875,-16708750] |
[a1,a2,a3,a4,a6] |
Generators |
[625:12600:1] |
Generators of the group modulo torsion |
j |
-125768785/30618 |
j-invariant |
L |
5.9330433668836 |
L(r)(E,1)/r! |
Ω |
0.12944946487145 |
Real period |
R |
1.9097038410495 |
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 |
3150p1 100800pm1 8400bu1 25200ds1 |
Quadratic twists by: -4 8 -3 5 |