Atkin-Lehner |
2- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418v |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-11071369498112 = -1 · 29 · 78 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 11+ -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3137,172479] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-574:1] |
Generators of the group modulo torsion |
j |
-592231633/1920512 |
j-invariant |
L |
7.7268282939209 |
L(r)(E,1)/r! |
Ω |
0.63077840147663 |
Real period |
R |
0.22684577105908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418bd1 |
Quadratic twists by: -7 |