Atkin-Lehner |
5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675c |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
155973864976308925 = 52 · 76 · 133 · 176 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 6 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-256140823,-1577766803792] |
[a1,a2,a3,a4,a6] |
j |
74339580662782115807760056320/6238954599052357 |
j-invariant |
L |
0.45285701591243 |
L(r)(E,1)/r! |
Ω |
0.03773808465691 |
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 |
38675bb2 |
Quadratic twists by: 5 |