Atkin-Lehner |
7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4669c |
Isogeny class |
Conductor |
4669 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
71627129 = 7 · 233 · 292 |
Discriminant |
Eigenvalues |
-1 2 -2 7- -2 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1784,-29744] |
[a1,a2,a3,a4,a6] |
Generators |
[16679:2145780:1] |
Generators of the group modulo torsion |
j |
627947704331137/71627129 |
j-invariant |
L |
2.9530089074275 |
L(r)(E,1)/r! |
Ω |
0.73460274485418 |
Real period |
R |
8.0397437339107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704n1 42021l1 116725e1 32683e1 |
Quadratic twists by: -4 -3 5 -7 |