Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
104076q |
Isogeny class |
Conductor |
104076 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
27770383850832 = 24 · 36 · 79 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61740,5899257] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1917:1] |
Generators of the group modulo torsion |
j |
55296000/59 |
j-invariant |
L |
7.1143514839575 |
L(r)(E,1)/r! |
Ω |
0.66283394007016 |
Real period |
R |
3.577744528784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999665779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11564b1 104076j1 |
Quadratic twists by: -3 -7 |