Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160t |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-653467136000 = -1 · 212 · 53 · 73 · 612 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6501,-203315] |
[a1,a2,a3,a4,a6] |
Generators |
[564:13237:1] |
Generators of the group modulo torsion |
j |
-7419438936064/159537875 |
j-invariant |
L |
4.8767619422236 |
L(r)(E,1)/r! |
Ω |
0.26550097168483 |
Real period |
R |
3.0613585023036 |
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 |
2135a1 |
Quadratic twists by: -4 |