Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38220n |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2311545600 = 28 · 34 · 52 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380,1800] |
[a1,a2,a3,a4,a6] |
j |
69291952/26325 |
j-invariant |
L |
2.6570899375404 |
L(r)(E,1)/r! |
Ω |
1.3285449687664 |
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 |
114660z2 38220bb2 |
Quadratic twists by: -3 -7 |