Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
74060b |
Isogeny class |
Conductor |
74060 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-1.4298101429696E+25 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 2 -1 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54079494,-98299222675] |
[a1,a2,a3,a4,a6] |
Generators |
[45203959252833391:229363966053263125:26216601256243] |
Generators of the group modulo torsion |
j |
7384729019637956864/6036585758984375 |
j-invariant |
L |
6.6349714720568 |
L(r)(E,1)/r! |
Ω |
0.038979105304858 |
Real period |
R |
21.27733377974 |
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 |
3220d1 |
Quadratic twists by: -23 |