Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
84420p |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1312899840 = -1 · 28 · 37 · 5 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,1748] |
[a1,a2,a3,a4,a6] |
Generators |
[37:225:1] |
Generators of the group modulo torsion |
j |
-65536/7035 |
j-invariant |
L |
6.779589396136 |
L(r)(E,1)/r! |
Ω |
1.2536318771329 |
Real period |
R |
2.7039793417138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28140h1 |
Quadratic twists by: -3 |