Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dp |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-1.80355072E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 -2 -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2264033,-1326280063] |
[a1,a2,a3,a4,a6] |
Generators |
[294129532688648:24301567860712125:41027927849] |
Generators of the group modulo torsion |
j |
-313337384670961/4403200000 |
j-invariant |
L |
5.8226918045339 |
L(r)(E,1)/r! |
Ω |
0.061487366358199 |
Real period |
R |
23.674342183618 |
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 |
68800v1 17200s1 13760n1 |
Quadratic twists by: -4 8 5 |