Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200fe |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-1822842630000 = -1 · 24 · 312 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5925,187175] |
[a1,a2,a3,a4,a6] |
j |
-3155449600/250047 |
j-invariant |
L |
1.6379298534227 |
L(r)(E,1)/r! |
Ω |
0.8189649267114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6300bb1 100800ov1 8400bq1 25200ep1 |
Quadratic twists by: -4 8 -3 5 |