Atkin-Lehner |
7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36421g |
Isogeny class |
Conductor |
36421 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-86512301808779 = -1 · 74 · 117 · 432 |
Discriminant |
Eigenvalues |
-2 1 -1 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5284,424144] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:297:8] [-37:423:1] |
Generators of the group modulo torsion |
j |
9208180736/48833939 |
j-invariant |
L |
5.2050262678324 |
L(r)(E,1)/r! |
Ω |
0.43635901313191 |
Real period |
R |
0.37275973676418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3311a1 |
Quadratic twists by: -11 |