Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620p |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-377622000 = -1 · 24 · 36 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-453,-3827] |
[a1,a2,a3,a4,a6] |
Generators |
[33:131:1] |
Generators of the group modulo torsion |
j |
-881395456/32375 |
j-invariant |
L |
5.1931368314757 |
L(r)(E,1)/r! |
Ω |
0.51630862263857 |
Real period |
R |
3.352734265105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5180c1 |
Quadratic twists by: -3 |