Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cz |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-443558027792491200 = -1 · 26 · 320 · 52 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 5 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604092,-183537326] |
[a1,a2,a3,a4,a6] |
j |
-522547125460258816/9506987907075 |
j-invariant |
L |
1.0263749021174 |
L(r)(E,1)/r! |
Ω |
0.085531300109807 |
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 |
123840fu1 1935i1 41280bc1 |
Quadratic twists by: -4 8 -3 |