Atkin-Lehner |
2- 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770be |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
375 |
Product of Tamagawa factors cp |
deg |
120000 |
Modular degree for the optimal curve |
Δ |
-28839628800000 = -1 · 215 · 35 · 55 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-510,258372] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:108:1] |
Generators of the group modulo torsion |
j |
-14671937276641/28839628800000 |
j-invariant |
L |
10.143418752452 |
L(r)(E,1)/r! |
Ω |
0.53387926471296 |
Real period |
R |
1.2666307937502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
104310k1 |
Quadratic twists by: -3 |