Atkin-Lehner |
2- 3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
48348b |
Isogeny class |
Conductor |
48348 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
1955712957696 = 28 · 39 · 173 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 4 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3456,-39852] |
[a1,a2,a3,a4,a6] |
Generators |
[2466:42471:8] |
Generators of the group modulo torsion |
j |
905969664/388127 |
j-invariant |
L |
7.2022356206732 |
L(r)(E,1)/r! |
Ω |
0.64722520980918 |
Real period |
R |
5.5639331653892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48348d1 |
Quadratic twists by: -3 |