Atkin-Lehner |
2+ 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
84624d |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-12625233285888 = -1 · 28 · 32 · 413 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 2 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1209,171315] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:387:1] |
Generators of the group modulo torsion |
j |
-764050066432/49317317523 |
j-invariant |
L |
5.3507619251737 |
L(r)(E,1)/r! |
Ω |
0.58729470348912 |
Real period |
R |
1.5184772625212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006148 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42312f1 |
Quadratic twists by: -4 |