Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600v |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
3296902500000000 = 28 · 39 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-143175,20668250] |
[a1,a2,a3,a4,a6] |
Generators |
[55:3600:1] |
Generators of the group modulo torsion |
j |
111310918864/1130625 |
j-invariant |
L |
4.1269596854983 |
L(r)(E,1)/r! |
Ω |
0.44908462450389 |
Real period |
R |
2.2974287552176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999177431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200y1 24120v1 |
Quadratic twists by: -3 5 |