Atkin-Lehner |
2+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19096a |
Isogeny class |
Conductor |
19096 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34176 |
Modular degree for the optimal curve |
Δ |
-451892632576 = -1 · 210 · 76 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11+ 6 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,336,-32144] |
[a1,a2,a3,a4,a6] |
Generators |
[35:154:1] |
Generators of the group modulo torsion |
j |
4084589372/441301399 |
j-invariant |
L |
3.3456714258259 |
L(r)(E,1)/r! |
Ω |
0.44488258281997 |
Real period |
R |
1.2533911774423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38192c1 |
Quadratic twists by: -4 |