Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bu |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-77505793750000 = -1 · 24 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6995,356997] |
[a1,a2,a3,a4,a6] |
Generators |
[222:5935:8] |
Generators of the group modulo torsion |
j |
1367631/2800 |
j-invariant |
L |
7.5116592876998 |
L(r)(E,1)/r! |
Ω |
0.42268844804181 |
Real period |
R |
2.22139359453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470h1 350a1 |
Quadratic twists by: 5 -11 |