Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120cc |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-138801600 = -1 · 26 · 36 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,114,360] |
[a1,a2,a3,a4,a6] |
Generators |
[6:36:1] |
Generators of the group modulo torsion |
j |
2537716544/2168775 |
j-invariant |
L |
6.7604009580949 |
L(r)(E,1)/r! |
Ω |
1.1947319019479 |
Real period |
R |
0.9430847968252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bg1 114240hn2 |
Quadratic twists by: -4 8 |