Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1938c |
Isogeny class |
Conductor |
1938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-34734045312 = -1 · 27 · 32 · 174 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,340,-8496] |
[a1,a2,a3,a4,a6] |
j |
4326762872375/34734045312 |
j-invariant |
L |
1.1532408843351 |
L(r)(E,1)/r! |
Ω |
0.57662044216753 |
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 |
15504s2 62016s2 5814s2 48450bw2 |
Quadratic twists by: -4 8 -3 5 |