Atkin-Lehner |
2- 3- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010t |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
77056 |
Modular degree for the optimal curve |
Δ |
-1664219520 = -1 · 27 · 37 · 5 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1823,30471] |
[a1,a2,a3,a4,a6] |
Generators |
[23:6:1] [-7:210:1] |
Generators of the group modulo torsion |
j |
-918613512361/2282880 |
j-invariant |
L |
15.339569125317 |
L(r)(E,1)/r! |
Ω |
1.500732412561 |
Real period |
R |
0.36504959172456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35670c1 |
Quadratic twists by: -3 |