Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600ee |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-26353376000 = -1 · 28 · 53 · 77 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -3 1 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1960,34300] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:230:1] [14:98:1] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
4.7723103981096 |
L(r)(E,1)/r! |
Ω |
1.1836099371349 |
Real period |
R |
0.25199974292539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900v1 78400ld1 19600ec1 2800bf1 |
Quadratic twists by: -4 8 5 -7 |