Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7150k |
Isogeny class |
Conductor |
7150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-49089218750 = -1 · 2 · 57 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1417,23491] |
[a1,a2,a3,a4,a6] |
Generators |
[39:143:1] |
Generators of the group modulo torsion |
j |
-20145851361/3141710 |
j-invariant |
L |
1.9713248938979 |
L(r)(E,1)/r! |
Ω |
1.0893535106089 |
Real period |
R |
0.22620353203756 |
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 |
57200bi1 64350dt1 1430j1 78650ca1 |
Quadratic twists by: -4 -3 5 -11 |