Atkin-Lehner |
2+ 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130h |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-2151201888000 = -1 · 28 · 34 · 53 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9982,386164] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:-734:1] [-586:7133:8] |
Generators of the group modulo torsion |
j |
-16039232578459/313632000 |
j-invariant |
L |
7.6275577444162 |
L(r)(E,1)/r! |
Ω |
0.82433561261461 |
Real period |
R |
0.77108134391177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119130br1 |
Quadratic twists by: -19 |