Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600z |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1148160 |
Modular degree for the optimal curve |
Δ |
-19310055200000000 = -1 · 211 · 58 · 176 |
Discriminant |
Eigenvalues |
2+ -3 5- 2 1 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36125,6141250] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
1.6459882067598 |
L(r)(E,1)/r! |
Ω |
0.27433142426656 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57800q1 115600n1 400g1 |
Quadratic twists by: -4 5 17 |