Atkin-Lehner |
2- 7- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
124432r |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
1226031418658816 = 212 · 74 · 112 · 1013 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -1 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41408,-2771344] |
[a1,a2,a3,a4,a6] |
Generators |
[433:7777:1] |
Generators of the group modulo torsion |
j |
1916975348711424/299324076821 |
j-invariant |
L |
4.6201884063208 |
L(r)(E,1)/r! |
Ω |
0.3381989428435 |
Real period |
R |
0.56921480891378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000188972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7777a1 |
Quadratic twists by: -4 |