Atkin-Lehner |
2+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200h |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2587969568000000 = 211 · 56 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76008,-7659988] |
[a1,a2,a3,a4,a6] |
j |
1517600157122/80874049 |
j-invariant |
L |
5.1927182338117 |
L(r)(E,1)/r! |
Ω |
0.28848434869136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3128a2 |
Quadratic twists by: 5 |