Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550cg |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
12439656000 = 26 · 39 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2120,37707] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:285:1] |
Generators of the group modulo torsion |
j |
11558505581/136512 |
j-invariant |
L |
7.993422669686 |
L(r)(E,1)/r! |
Ω |
1.2705315619429 |
Real period |
R |
0.52428335962666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11850k1 35550y1 |
Quadratic twists by: -3 5 |