Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
113760ba |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-15527178619200000 = -1 · 29 · 39 · 55 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35397,-5419602] |
[a1,a2,a3,a4,a6] |
Generators |
[1293:46926:1] |
Generators of the group modulo torsion |
j |
486700537896/1540746875 |
j-invariant |
L |
4.8104620146682 |
L(r)(E,1)/r! |
Ω |
0.20088162093832 |
Real period |
R |
1.9955625100388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760b1 113760h1 |
Quadratic twists by: -4 -3 |