Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cb |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-116098791503906250 = -1 · 2 · 32 · 514 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,33787,-16204219] |
[a1,a2,a3,a4,a6] |
j |
272993167848311/7430322656250 |
j-invariant |
L |
5.1395697246592 |
L(r)(E,1)/r! |
Ω |
0.16061155388853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430p4 |
Quadratic twists by: 5 |