Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488is |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-31418519666688 = -1 · 214 · 35 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6991,-146385] |
[a1,a2,a3,a4,a6] |
Generators |
[67:-792:1] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
7.7606502420191 |
L(r)(E,1)/r! |
Ω |
0.36439796796806 |
Real period |
R |
0.21297183198601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999497533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488y1 25872bl1 103488ey1 |
Quadratic twists by: -4 8 -7 |