Atkin-Lehner |
2- 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770be |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
-250956486757175880 = -1 · 23 · 3 · 5 · 195 · 615 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-241110,-51570708] |
[a1,a2,a3,a4,a6] |
Generators |
[602:4340:1] |
Generators of the group modulo torsion |
j |
-1550134898897816147041/250956486757175880 |
j-invariant |
L |
10.143418752452 |
L(r)(E,1)/r! |
Ω |
0.10677585294259 |
Real period |
R |
6.3331539687509 |
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 |
104310k2 |
Quadratic twists by: -3 |