Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bj |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
15824160 |
Modular degree for the optimal curve |
Δ |
-4.8085843724178E+24 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -3 1 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102493180,-413058495553] |
[a1,a2,a3,a4,a6] |
Generators |
[22852922275655543:35556578163082486405:9434056897] |
Generators of the group modulo torsion |
j |
-12678309/512 |
j-invariant |
L |
11.496093831408 |
L(r)(E,1)/r! |
Ω |
0.023668428191993 |
Real period |
R |
26.984127308408 |
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 |
68450s1 68450r1 |
Quadratic twists by: 5 37 |