Atkin-Lehner |
2+ 5- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119990j |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2059200 |
Modular degree for the optimal curve |
Δ |
-42107889301104640 = -1 · 211 · 5 · 138 · 712 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 3 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-994738,381910596] |
[a1,a2,a3,a4,a6] |
Generators |
[4526:2109:8] |
Generators of the group modulo torsion |
j |
-133445026517881/51619840 |
j-invariant |
L |
4.689393323248 |
L(r)(E,1)/r! |
Ω |
0.35524915039509 |
Real period |
R |
6.6001471190038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119990m1 |
Quadratic twists by: 13 |