Atkin-Lehner |
7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67081i |
Isogeny class |
Conductor |
67081 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
5959274797 = 76 · 373 |
Discriminant |
Eigenvalues |
2 -1 -2 7- 3 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-604,4549] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:625:8] |
Generators of the group modulo torsion |
j |
4096 |
j-invariant |
L |
7.3188255551383 |
L(r)(E,1)/r! |
Ω |
1.2632223719574 |
Real period |
R |
2.8968872453539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000547 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1369e1 67081j1 |
Quadratic twists by: -7 37 |