Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80600x |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-17707820000000 = -1 · 28 · 57 · 134 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 6 13- -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30633,-2063363] |
[a1,a2,a3,a4,a6] |
Generators |
[207:650:1] |
Generators of the group modulo torsion |
j |
-794779196416/4426955 |
j-invariant |
L |
6.3542317506528 |
L(r)(E,1)/r! |
Ω |
0.18037500724325 |
Real period |
R |
1.1008717077196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120c1 |
Quadratic twists by: 5 |