Atkin-Lehner |
2+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738h |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-8593200647367739312 = -1 · 24 · 72 · 1310 · 433 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-566665116,-5192084841526] |
[a1,a2,a3,a4,a6] |
j |
-145972021572182352625/62333488 |
j-invariant |
L |
0.18566072426064 |
L(r)(E,1)/r! |
Ω |
0.015471696572653 |
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 |
101738y2 |
Quadratic twists by: 13 |