Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7260m |
Isogeny class |
Conductor |
7260 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
-11575379574000 = -1 · 24 · 33 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12866,580809] |
[a1,a2,a3,a4,a6] |
j |
-68679424/3375 |
j-invariant |
L |
2.1248672524487 |
L(r)(E,1)/r! |
Ω |
0.70828908414958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29040cg1 116160ca1 21780w1 36300o1 |
Quadratic twists by: -4 8 -3 5 |