Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4704bb |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-230582674642650624 = -1 · 29 · 313 · 710 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,152864,2188556] |
[a1,a2,a3,a4,a6] |
j |
2731405432/1594323 |
j-invariant |
L |
2.4662842306688 |
L(r)(E,1)/r! |
Ω |
0.18971417158991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4704t1 9408bx1 14112r1 117600p1 |
Quadratic twists by: -4 8 -3 5 |