Atkin-Lehner |
2- 5- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24140b |
Isogeny class |
Conductor |
24140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-139529200 = -1 · 24 · 52 · 173 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -3 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,130,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[79:705:1] |
Generators of the group modulo torsion |
j |
15069150464/8720575 |
j-invariant |
L |
7.977991432371 |
L(r)(E,1)/r! |
Ω |
1.0989457610864 |
Real period |
R |
3.6298385756929 |
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 |
96560j1 120700d1 |
Quadratic twists by: -4 5 |