Atkin-Lehner |
2- 3- 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
34770bf |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-94317414930 = -1 · 2 · 37 · 5 · 19 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3630,-85770] |
[a1,a2,a3,a4,a6] |
Generators |
[606:1893:8] |
Generators of the group modulo torsion |
j |
-5289943880279521/94317414930 |
j-invariant |
L |
11.505396659859 |
L(r)(E,1)/r! |
Ω |
0.30720822492427 |
Real period |
R |
1.7834028745712 |
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 |
104310l1 |
Quadratic twists by: -3 |