Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350co |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-40530273437500000 = -1 · 25 · 515 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39537,9217781] |
[a1,a2,a3,a4,a6] |
j |
3615170357711/21437500000 |
j-invariant |
L |
7.8714591969318 |
L(r)(E,1)/r! |
Ω |
0.26238197323349 |
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 |
8470e2 42350n2 |
Quadratic twists by: 5 -11 |