Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600ba |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
180480 |
Modular degree for the optimal curve |
Δ |
-9527781452800 = -1 · 210 · 52 · 13 · 315 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 3 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26408,-1649668] |
[a1,a2,a3,a4,a6] |
Generators |
[868025019513839:17424986946572298:1854972923903] |
Generators of the group modulo torsion |
j |
-79562189522500/372178963 |
j-invariant |
L |
9.4212601388292 |
L(r)(E,1)/r! |
Ω |
0.18720298807768 |
Real period |
R |
25.163220511522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80600m1 |
Quadratic twists by: 5 |