Atkin-Lehner |
3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124545t |
Isogeny class |
Conductor |
124545 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
251285603805 = 36 · 5 · 194 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-40191,3087830] |
[a1,a2,a3,a4,a6] |
j |
55094284877824/1928205 |
j-invariant |
L |
3.6852396437214 |
L(r)(E,1)/r! |
Ω |
0.92130983360559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124545h1 |
Quadratic twists by: -19 |