Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200bo |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-6509108836433920000 = -1 · 248 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 0 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,265567,-110960863] |
[a1,a2,a3,a4,a6] |
j |
12642252501575/39728447488 |
j-invariant |
L |
0.72891811114516 |
L(r)(E,1)/r! |
Ω |
0.12148635267648 |
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 |
59200dr2 1850g2 59200bi2 |
Quadratic twists by: -4 8 5 |