Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bf |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-476199462024 = -1 · 23 · 37 · 115 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11- 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1080,29992] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-574:1] |
Generators of the group modulo torsion |
j |
1130197991/3865224 |
j-invariant |
L |
2.9006717639672 |
L(r)(E,1)/r! |
Ω |
0.66199094292443 |
Real period |
R |
0.21908696750086 |
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 |
11154v1 33462cf1 |
Quadratic twists by: -3 13 |