Atkin-Lehner |
5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8075f |
Isogeny class |
Conductor |
8075 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-421520046875 = -1 · 56 · 175 · 19 |
Discriminant |
Eigenvalues |
0 -3 5+ -4 -2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1150,34656] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:212:1] |
Generators of the group modulo torsion |
j |
-10764582912/26977283 |
j-invariant |
L |
1.0207228574841 |
L(r)(E,1)/r! |
Ω |
0.8345430151251 |
Real period |
R |
0.12230919664831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200cb1 72675y1 323a1 |
Quadratic twists by: -4 -3 5 |