Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480n |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-870000 = -1 · 24 · 3 · 54 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 -3 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[8:25:1] |
Generators of the group modulo torsion |
j |
91625216/54375 |
j-invariant |
L |
2.6733183058918 |
L(r)(E,1)/r! |
Ω |
1.6431927373246 |
Real period |
R |
0.40672622346243 |
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 |
6960n1 27840bx1 10440h1 17400m1 |
Quadratic twists by: -4 8 -3 5 |