Atkin-Lehner |
5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4655a |
Isogeny class |
Conductor |
4655 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-28511875 = -1 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
0 0 5+ 7+ 1 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-98,453] |
[a1,a2,a3,a4,a6] |
Generators |
[21:87:1] |
Generators of the group modulo torsion |
j |
-43352064/11875 |
j-invariant |
L |
2.747990815375 |
L(r)(E,1)/r! |
Ω |
1.9948434890882 |
Real period |
R |
0.22959117932531 |
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 |
74480x1 41895be1 23275a1 4655r1 |
Quadratic twists by: -4 -3 5 -7 |