Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800t |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
9.5761000986328E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34289383,-77257877738] |
[a1,a2,a3,a4,a6] |
j |
151591373397612544/32558203125 |
j-invariant |
L |
2.2460412849786 |
L(r)(E,1)/r! |
Ω |
0.062390035582037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400ea1 11760bg1 8400s1 |
Quadratic twists by: -4 5 -7 |