Atkin-Lehner |
2+ 3+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14586a |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
234080 |
Modular degree for the optimal curve |
Δ |
-326485867713527808 = -1 · 222 · 37 · 115 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 11- 13+ 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-362681,88298661] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:11319:1] |
Generators of the group modulo torsion |
j |
-5275941807135921123097/326485867713527808 |
j-invariant |
L |
2.3795306631371 |
L(r)(E,1)/r! |
Ω |
0.30033362958123 |
Real period |
R |
0.79229577668508 |
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 |
116688v1 43758p1 |
Quadratic twists by: -4 -3 |