Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200db |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-29635200000000 = -1 · 213 · 33 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4125,241250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-600:1] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
4.9032506153446 |
L(r)(E,1)/r! |
Ω |
0.47130530089474 |
Real period |
R |
0.43348145795271 |
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 |
3150h1 100800kc1 25200da2 25200cu1 |
Quadratic twists by: -4 8 -3 5 |