Atkin-Lehner |
2+ 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47328g |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1329733545984 = -1 · 212 · 33 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 5 3 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1309,58837] |
[a1,a2,a3,a4,a6] |
j |
-60605834752/324641979 |
j-invariant |
L |
2.9695934658465 |
L(r)(E,1)/r! |
Ω |
0.74239836638428 |
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 |
47328w1 94656bb1 |
Quadratic twists by: -4 8 |