Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800ba |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-6966000000000 = -1 · 210 · 34 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,128412] |
[a1,a2,a3,a4,a6] |
j |
-97556/3483 |
j-invariant |
L |
1.2445283799503 |
L(r)(E,1)/r! |
Ω |
0.62226418997518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600bc1 77400s1 25800s1 |
Quadratic twists by: -4 -3 5 |