Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
643125000000 = 26 · 3 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2158,-188] |
[a1,a2,a3,a4,a6] |
j |
3241792/1875 |
j-invariant |
L |
3.0681028094054 |
L(r)(E,1)/r! |
Ω |
0.7670259448259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600hi1 23520bt1 117600dk1 |
Quadratic twists by: -4 5 -7 |