Atkin-Lehner |
5+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106925r |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-11694921875 = -1 · 58 · 72 · 13 · 47 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -3 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2633,51394] |
[a1,a2,a3,a4,a6] |
Generators |
[154:721:8] [68:437:1] |
Generators of the group modulo torsion |
j |
-129247215616/748475 |
j-invariant |
L |
11.571380035106 |
L(r)(E,1)/r! |
Ω |
1.279133677852 |
Real period |
R |
1.130782911444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21385i1 |
Quadratic twists by: 5 |