Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gx |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-1294424064000000000 = -1 · 220 · 37 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1630875,803506250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1169:33354:1] [701:-2176:1] |
Generators of the group modulo torsion |
j |
-82256120549/221952 |
j-invariant |
L |
8.8198939559403 |
L(r)(E,1)/r! |
Ω |
0.27264530226319 |
Real period |
R |
4.043666754356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650cj1 20400cu1 61200hk1 |
Quadratic twists by: -4 -3 5 |