Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23322f |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-218837711984112 = -1 · 24 · 36 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7602,667620] |
[a1,a2,a3,a4,a6] |
j |
10063705679/45337968 |
j-invariant |
L |
1.6060917555468 |
L(r)(E,1)/r! |
Ω |
0.40152293888668 |
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 |
69966bc1 1794h1 |
Quadratic twists by: -3 13 |