Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200x |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-4900921200 = -1 · 24 · 36 · 52 · 75 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,-3715] |
[a1,a2,a3,a4,a6] |
j |
-6288640/16807 |
j-invariant |
L |
1.109769039031 |
L(r)(E,1)/r! |
Ω |
0.55488451951565 |
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 |
12600t1 100800li1 2800d1 25200ce1 |
Quadratic twists by: -4 8 -3 5 |