Atkin-Lehner |
2+ 3+ 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274b |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4122089363571572736 = -1 · 215 · 33 · 78 · 292 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,389382,28108980] |
[a1,a2,a3,a4,a6] |
j |
241817059040357185029/152669976428576768 |
j-invariant |
L |
0.61308780503584 |
L(r)(E,1)/r! |
Ω |
0.15327179670824 |
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 |
113274bd2 |
Quadratic twists by: -3 |