Atkin-Lehner |
2- 3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
108630p |
Isogeny class |
Conductor |
108630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-883275668199000000 = -1 · 26 · 316 · 56 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-725153,242124081] |
[a1,a2,a3,a4,a6] |
Generators |
[473:-2424:1] |
Generators of the group modulo torsion |
j |
-57847496220357245641/1211626431000000 |
j-invariant |
L |
10.583407767718 |
L(r)(E,1)/r! |
Ω |
0.28057829688742 |
Real period |
R |
1.5716658423937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999619017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36210d1 |
Quadratic twists by: -3 |