Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384bf |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-26643456 = -1 · 210 · 32 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 0 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-632,-6336] |
[a1,a2,a3,a4,a6] |
Generators |
[88:792:1] |
Generators of the group modulo torsion |
j |
-557270308/531 |
j-invariant |
L |
5.7963291194946 |
L(r)(E,1)/r! |
Ω |
0.47600139517316 |
Real period |
R |
3.0442815808876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69384r1 |
Quadratic twists by: -7 |