Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130m |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
2.1097959796066E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14536034,-20155262668] |
[a1,a2,a3,a4,a6] |
Generators |
[-102550791:-1531616363:50653] |
Generators of the group modulo torsion |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
6.8335777796713 |
L(r)(E,1)/r! |
Ω |
0.07762011192209 |
Real period |
R |
8.8038751818402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
330d1 |
Quadratic twists by: -19 |