Atkin-Lehner |
2- 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
84624t |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-3305694397095936 = -1 · 213 · 34 · 415 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -1 -3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35400,1051092] |
[a1,a2,a3,a4,a6] |
j |
1197736492998599/807054296166 |
j-invariant |
L |
2.2493768065303 |
L(r)(E,1)/r! |
Ω |
0.28117209805896 |
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 |
10578a1 |
Quadratic twists by: -4 |