Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1960a |
Isogeny class |
Conductor |
1960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-18447363200000 = -1 · 210 · 55 · 78 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -2 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,-204644] |
[a1,a2,a3,a4,a6] |
Generators |
[58:316:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
2.3997281163736 |
L(r)(E,1)/r! |
Ω |
0.33400868254236 |
Real period |
R |
3.5923139753549 |
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 |
3920a1 15680be1 17640cl1 9800w1 |
Quadratic twists by: -4 8 -3 5 |