Atkin-Lehner |
5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7175b |
Isogeny class |
Conductor |
7175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-703836669921875 = -1 · 513 · 73 · 412 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ 3 1 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4508,-1283231] |
[a1,a2,a3,a4,a6] |
Generators |
[20655166:389908189:54872] |
Generators of the group modulo torsion |
j |
-648562364416/45045546875 |
j-invariant |
L |
8.8883010607216 |
L(r)(E,1)/r! |
Ω |
0.22401626622314 |
Real period |
R |
9.9192585549438 |
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 |
114800bq1 64575v1 1435c1 50225n1 |
Quadratic twists by: -4 -3 5 -7 |