Atkin-Lehner |
2+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
114638g |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
276115519711379456 = 215 · 31 · 437 |
Discriminant |
Eigenvalues |
2+ 2 3 4 -3 -7 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-715601,-231922027] |
[a1,a2,a3,a4,a6] |
Generators |
[125073550138677774370:28684875394113650563519:2366994196783000] |
Generators of the group modulo torsion |
j |
6411014266033/43679744 |
j-invariant |
L |
10.090388961427 |
L(r)(E,1)/r! |
Ω |
0.16421395034622 |
Real period |
R |
30.723300122043 |
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 |
2666e1 |
Quadratic twists by: -43 |