Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640o |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
3132439411240000 = 26 · 54 · 238 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102097,-12264336] |
[a1,a2,a3,a4,a6] |
j |
12422690496/330625 |
j-invariant |
L |
0.53503442554246 |
L(r)(E,1)/r! |
Ω |
0.26751726316382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84640p1 3680d1 |
Quadratic twists by: -4 -23 |