Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280t |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-2877434150400000 = -1 · 212 · 314 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-92501,-11162685] |
[a1,a2,a3,a4,a6] |
j |
-21370158463320064/702498571875 |
j-invariant |
L |
1.91258741037 |
L(r)(E,1)/r! |
Ω |
0.136613386455 |
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 |
705a1 45120cf1 33840ch1 56400bg1 |
Quadratic twists by: -4 8 -3 5 |