Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4655j |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-78236585 = -1 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 0 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,-689] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3172:1] |
Generators of the group modulo torsion |
j |
-1771561/665 |
j-invariant |
L |
4.8957145429322 |
L(r)(E,1)/r! |
Ω |
0.70289220250396 |
Real period |
R |
3.4825500450082 |
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 |
74480bg1 41895bv1 23275v1 665c1 |
Quadratic twists by: -4 -3 5 -7 |