Atkin-Lehner |
2+ 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560r |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-13176000 = -1 · 26 · 33 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 -4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,-173] |
[a1,a2,a3,a4,a6] |
Generators |
[14:45:1] |
Generators of the group modulo torsion |
j |
-28094464/205875 |
j-invariant |
L |
5.0884595269576 |
L(r)(E,1)/r! |
Ω |
0.94189414406233 |
Real period |
R |
1.8007895964781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560ea1 915c1 |
Quadratic twists by: -4 8 |