Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14896o |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-495999419620096 = -1 · 28 · 710 · 193 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 1 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9604,-1008420] |
[a1,a2,a3,a4,a6] |
Generators |
[737:20159:1] |
Generators of the group modulo torsion |
j |
1354752/6859 |
j-invariant |
L |
3.7308570789543 |
L(r)(E,1)/r! |
Ω |
0.2633081808725 |
Real period |
R |
4.7230550231946 |
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 |
7448p1 59584cf1 14896a1 |
Quadratic twists by: -4 8 -7 |