Atkin-Lehner |
2+ 3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950x |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1240320 |
Modular degree for the optimal curve |
Δ |
-88935990495300 = -1 · 22 · 34 · 52 · 13 · 615 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-463626,-121545872] |
[a1,a2,a3,a4,a6] |
Generators |
[791:2211:1] |
Generators of the group modulo torsion |
j |
-440844783445777050625/3557439619812 |
j-invariant |
L |
4.3224739253255 |
L(r)(E,1)/r! |
Ω |
0.091480286313674 |
Real period |
R |
5.9062916372186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998267821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950bk1 |
Quadratic twists by: 5 |