Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
123504m |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
38894867712 = 28 · 310 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 -2 -3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10129,-395653] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:9:1] |
Generators of the group modulo torsion |
j |
448979317937152/151933077 |
j-invariant |
L |
5.0607900793178 |
L(r)(E,1)/r! |
Ω |
0.47589720992809 |
Real period |
R |
1.0634208214458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119078 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61752m1 |
Quadratic twists by: -4 |