Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700d |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
88098917868000000 = 28 · 33 · 56 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-626708,190635912] |
[a1,a2,a3,a4,a6] |
j |
1409938000/4563 |
j-invariant |
L |
2.0482841949733 |
L(r)(E,1)/r! |
Ω |
0.3413806992043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2028d2 3900c2 |
Quadratic twists by: 5 13 |