Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57120bf |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2399040 = 26 · 32 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106,-380] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2:1] |
Generators of the group modulo torsion |
j |
2077552576/37485 |
j-invariant |
L |
3.5835833504628 |
L(r)(E,1)/r! |
Ω |
1.4883594059275 |
Real period |
R |
1.2038702937818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120cb1 114240jz2 |
Quadratic twists by: -4 8 |