Atkin-Lehner |
2- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
127534k |
Isogeny class |
Conductor |
127534 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
175680 |
Modular degree for the optimal curve |
Δ |
22984687616 = 215 · 113 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -2 -1 1 11+ -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3726,-87548] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:34:1] [-34:28:1] |
Generators of the group modulo torsion |
j |
4298149261979/17268736 |
j-invariant |
L |
12.390825910935 |
L(r)(E,1)/r! |
Ω |
0.6112138609757 |
Real period |
R |
0.67574961354647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127534c1 |
Quadratic twists by: -11 |