Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14994a |
Isogeny class |
Conductor |
14994 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
31604176116301824 = 214 · 39 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119814,13507892] |
[a1,a2,a3,a4,a6] |
Generators |
[1948:83698:1] |
Generators of the group modulo torsion |
j |
1676381427/278528 |
j-invariant |
L |
3.9973605695927 |
L(r)(E,1)/r! |
Ω |
0.35368078289377 |
Real period |
R |
0.94184755551008 |
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 |
119952bv1 14994bn1 14994h1 |
Quadratic twists by: -4 -3 -7 |