Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
10224s |
Isogeny class |
Conductor |
10224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
28454811171028992 = 239 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -6 -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378171,89143146] |
[a1,a2,a3,a4,a6] |
j |
2003092024307193/9529458688 |
j-invariant |
L |
0.75104909523957 |
L(r)(E,1)/r! |
Ω |
0.37552454761978 |
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 |
1278i1 40896by1 1136d1 |
Quadratic twists by: -4 8 -3 |