Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050h |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
10768906250000 = 24 · 510 · 413 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11980,-476353] |
[a1,a2,a3,a4,a6] |
j |
176558481/10000 |
j-invariant |
L |
3.6636164310599 |
L(r)(E,1)/r! |
Ω |
0.45795205195312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16810c1 84050i1 |
Quadratic twists by: 5 41 |