Atkin-Lehner |
2+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234p |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
1975029097560064 = 211 · 77 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16462115,-25709860130] |
[a1,a2,a3,a4,a6] |
j |
4193651411483568183577/16787470336 |
j-invariant |
L |
0.59960899154836 |
L(r)(E,1)/r! |
Ω |
0.074951124005389 |
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 |
7462f1 |
Quadratic twists by: -7 |