Atkin-Lehner |
2+ 3+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10578a |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-807054296166 = -1 · 2 · 34 · 415 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 1 -3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2213,-15317] |
[a1,a2,a3,a4,a6] |
Generators |
[19:175:1] |
Generators of the group modulo torsion |
j |
1197736492998599/807054296166 |
j-invariant |
L |
2.9813320704856 |
L(r)(E,1)/r! |
Ω |
0.50760233522765 |
Real period |
R |
2.936680806589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84624t1 31734m1 |
Quadratic twists by: -4 -3 |