Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
34860d |
Isogeny class |
Conductor |
34860 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
57867600 = 24 · 3 · 52 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145,-518] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
21217755136/3616725 |
j-invariant |
L |
6.0654900742032 |
L(r)(E,1)/r! |
Ω |
1.3909964260829 |
Real period |
R |
1.4535120197454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104580m1 |
Quadratic twists by: -3 |