Atkin-Lehner |
3- 7+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84357d |
Isogeny class |
Conductor |
84357 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-189838933011 = -1 · 310 · 74 · 13 · 103 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 4 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13152,580923] |
[a1,a2,a3,a4,a6] |
Generators |
[11:661:1] |
Generators of the group modulo torsion |
j |
-345121157545984/260410059 |
j-invariant |
L |
5.6568682352325 |
L(r)(E,1)/r! |
Ω |
1.0002317735576 |
Real period |
R |
1.4138893556497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28119b1 |
Quadratic twists by: -3 |