Atkin-Lehner |
2- 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770bd |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
6515619840000 = 214 · 32 · 54 · 19 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1660150,823182500] |
[a1,a2,a3,a4,a6] |
Generators |
[740:-550:1] |
Generators of the group modulo torsion |
j |
506017710966196618581601/6515619840000 |
j-invariant |
L |
10.349663356836 |
L(r)(E,1)/r! |
Ω |
0.53080474333678 |
Real period |
R |
0.3481796638149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310i2 |
Quadratic twists by: -3 |