Atkin-Lehner |
2+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040l |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-13153988710016000 = -1 · 210 · 53 · 73 · 112 · 195 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11+ -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58240,1068592] |
[a1,a2,a3,a4,a6] |
Generators |
[54:2090:1] |
Generators of the group modulo torsion |
j |
21334398229347836/12845692099625 |
j-invariant |
L |
4.4613156239851 |
L(r)(E,1)/r! |
Ω |
0.24428651556857 |
Real period |
R |
0.30437725846829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58520v1 |
Quadratic twists by: -4 |