Atkin-Lehner |
2+ 3- 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770p |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
2748777120000 = 28 · 35 · 54 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 -2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60443,5713958] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-440:1] |
Generators of the group modulo torsion |
j |
24420323830615940521/2748777120000 |
j-invariant |
L |
4.0728593872012 |
L(r)(E,1)/r! |
Ω |
0.77535117251585 |
Real period |
R |
0.26264611001908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310by1 |
Quadratic twists by: -3 |