Atkin-Lehner |
2- 3+ 7+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35742h |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8997977016 = 23 · 36 · 72 · 23 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1127,-14299] |
[a1,a2,a3,a4,a6] |
j |
158314081170673/8997977016 |
j-invariant |
L |
4.9614109712595 |
L(r)(E,1)/r! |
Ω |
0.82690182854306 |
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 |
107226j2 |
Quadratic twists by: -3 |