Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450bq |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
21390625000 = 23 · 59 · 372 |
Discriminant |
Eigenvalues |
2- -3 5- -2 0 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3180,69447] |
[a1,a2,a3,a4,a6] |
Generators |
[19:115:1] |
Generators of the group modulo torsion |
j |
1329669/8 |
j-invariant |
L |
4.6279631350648 |
L(r)(E,1)/r! |
Ω |
1.2163516362946 |
Real period |
R |
0.63413174777711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450u1 68450v1 |
Quadratic twists by: 5 37 |