Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600p |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
18931404800 = 212 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-973,9957] |
[a1,a2,a3,a4,a6] |
Generators |
[3:84:1] |
Generators of the group modulo torsion |
j |
995883520/184877 |
j-invariant |
L |
9.5225247472274 |
L(r)(E,1)/r! |
Ω |
1.1619824649401 |
Real period |
R |
0.81950675113482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600f1 123200fw1 61600bw1 |
Quadratic twists by: -4 8 5 |