Atkin-Lehner |
3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
34839h |
Isogeny class |
Conductor |
34839 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22680 |
Modular degree for the optimal curve |
Δ |
6775523559 = 36 · 76 · 79 |
Discriminant |
Eigenvalues |
1 3- -3 7- 2 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-891,9666] |
[a1,a2,a3,a4,a6] |
Generators |
[10:36:1] |
Generators of the group modulo torsion |
j |
912673/79 |
j-invariant |
L |
4.0328020041307 |
L(r)(E,1)/r! |
Ω |
1.2985710981617 |
Real period |
R |
3.1055688901748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3871a1 711c1 |
Quadratic twists by: -3 -7 |