Atkin-Lehner |
2+ 3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022a |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8692992 |
Modular degree for the optimal curve |
Δ |
-6.0663929218584E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 6 13+ 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6672117,-9816704451] |
[a1,a2,a3,a4,a6] |
Generators |
[2925714:164119287:1331] |
Generators of the group modulo torsion |
j |
6805412533571944319/12568123001880576 |
j-invariant |
L |
3.9809461881477 |
L(r)(E,1)/r! |
Ω |
0.058063445483719 |
Real period |
R |
4.2851252590472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5694c1 |
Quadratic twists by: 13 |