Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800y |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
6160384000000000 = 226 · 59 · 47 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 1 1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46675,-896750] |
[a1,a2,a3,a4,a6] |
j |
175710096801/96256000 |
j-invariant |
L |
1.3882124880399 |
L(r)(E,1)/r! |
Ω |
0.34705312200998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2350d1 75200cm1 3760q1 |
Quadratic twists by: -4 8 5 |