Atkin-Lehner |
2+ 3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35742g |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-425579994 = -1 · 2 · 36 · 73 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32,992] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/425579994 |
j-invariant |
L |
2.7500885834358 |
L(r)(E,1)/r! |
Ω |
1.3750442917269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107226be1 |
Quadratic twists by: -3 |