Atkin-Lehner |
3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7839a |
Isogeny class |
Conductor |
7839 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-17143893 = -1 · 39 · 13 · 67 |
Discriminant |
Eigenvalues |
1 3- -2 2 3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-243,1534] |
[a1,a2,a3,a4,a6] |
Generators |
[14:20:1] |
Generators of the group modulo torsion |
j |
-2181825073/23517 |
j-invariant |
L |
4.7140237944039 |
L(r)(E,1)/r! |
Ω |
2.2009281555069 |
Real period |
R |
0.53545861806177 |
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 |
125424q1 2613a1 101907e1 |
Quadratic twists by: -4 -3 13 |