Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400bc |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-787251200000000 = -1 · 221 · 58 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 0 1 0 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12208,-1450412] |
[a1,a2,a3,a4,a6] |
j |
-125768785/492032 |
j-invariant |
L |
2.4892835549464 |
L(r)(E,1)/r! |
Ω |
0.20744029624554 |
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 |
1550g1 49600cw1 111600gh1 12400v1 |
Quadratic twists by: -4 8 -3 5 |