Atkin-Lehner |
2- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71920l |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
1616402000 = 24 · 53 · 292 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-341,1580] |
[a1,a2,a3,a4,a6] |
Generators |
[12890:517215:8] |
Generators of the group modulo torsion |
j |
274877906944/101025125 |
j-invariant |
L |
9.7316605409728 |
L(r)(E,1)/r! |
Ω |
1.372403599624 |
Real period |
R |
7.0909611013051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17980a1 |
Quadratic twists by: -4 |