Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608bf |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1969180803072 = -1 · 215 · 35 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2248,-79756] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-1008:1] |
Generators of the group modulo torsion |
j |
-306863943625/480757032 |
j-invariant |
L |
7.176347584436 |
L(r)(E,1)/r! |
Ω |
0.32860105988585 |
Real period |
R |
0.27298860459127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4326a1 103824cj1 |
Quadratic twists by: -4 -3 |