Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cv |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-21685978789687296 = -1 · 212 · 38 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73565,10424427] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-2052:1] |
Generators of the group modulo torsion |
j |
-91368216064/45001899 |
j-invariant |
L |
9.7902599669084 |
L(r)(E,1)/r! |
Ω |
0.35626147900868 |
Real period |
R |
0.57251137549102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376f1 1824e1 |
Quadratic twists by: -4 -7 |