Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6080j |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
417027200000 = 210 · 55 · 194 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3685,79083] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:380:1] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
3.0542465854686 |
L(r)(E,1)/r! |
Ω |
0.92445828404701 |
Real period |
R |
0.33038230476967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6080u1 380b1 54720be1 30400m1 |
Quadratic twists by: -4 8 -3 5 |