Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102m |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1458295368704 = -1 · 210 · 176 · 59 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 -2 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7231,243097] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:617:1] [24:277:1] |
Generators of the group modulo torsion |
j |
-1732323601/60416 |
j-invariant |
L |
12.213812929221 |
L(r)(E,1)/r! |
Ω |
0.84607378428074 |
Real period |
R |
0.36089680226896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118b1 |
Quadratic twists by: 17 |