Atkin-Lehner |
2- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68894o |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2721600 |
Modular degree for the optimal curve |
Δ |
-1.3068015109493E+19 |
Discriminant |
Eigenvalues |
2- 3 2 7- 0 -3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58344,-173995349] |
[a1,a2,a3,a4,a6] |
Generators |
[87951:4948643:27] |
Generators of the group modulo torsion |
j |
-186688297520577/111076295671808 |
j-invariant |
L |
19.821577856147 |
L(r)(E,1)/r! |
Ω |
0.1008210243979 |
Real period |
R |
6.5533877064923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406g1 |
Quadratic twists by: -7 |