Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478bh |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-688123917603936 = -1 · 25 · 37 · 11 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21186,-1727244] |
[a1,a2,a3,a4,a6] |
j |
-30664297/20064 |
j-invariant |
L |
0.76886270929335 |
L(r)(E,1)/r! |
Ω |
0.192215681075 |
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 |
23826bg1 3762r1 |
Quadratic twists by: -3 -19 |