Atkin-Lehner |
2+ 3+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658b |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-64495662 = -1 · 2 · 3 · 74 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,379] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] [-42:181:8] |
Generators of the group modulo torsion |
j |
-765625/26862 |
j-invariant |
L |
7.717709612694 |
L(r)(E,1)/r! |
Ω |
1.6351041046079 |
Real period |
R |
2.3600055771083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658bn1 |
Quadratic twists by: -7 |