Atkin-Lehner |
5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
35275f |
Isogeny class |
Conductor |
35275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-14991875 = -1 · 54 · 172 · 83 |
Discriminant |
Eigenvalues |
-1 1 5- 5 3 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-113,-508] |
[a1,a2,a3,a4,a6] |
Generators |
[32:154:1] |
Generators of the group modulo torsion |
j |
-255457825/23987 |
j-invariant |
L |
5.0519330874038 |
L(r)(E,1)/r! |
Ω |
0.72822710199613 |
Real period |
R |
1.1562174019513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35275c1 |
Quadratic twists by: 5 |