Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300bd |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
2130000364800 = 28 · 36 · 52 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11280,-455740] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:18:1] |
Generators of the group modulo torsion |
j |
34020720640/456533 |
j-invariant |
L |
4.8962326799755 |
L(r)(E,1)/r! |
Ω |
0.4636336651957 |
Real period |
R |
1.76009388718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7700e1 69300cl1 |
Quadratic twists by: -3 5 |