Atkin-Lehner |
5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
35275a |
Isogeny class |
Conductor |
35275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17088 |
Modular degree for the optimal curve |
Δ |
110234375 = 57 · 17 · 83 |
Discriminant |
Eigenvalues |
-1 -2 5+ 0 -3 -7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1063,13242] |
[a1,a2,a3,a4,a6] |
Generators |
[17:4:1] |
Generators of the group modulo torsion |
j |
8502154921/7055 |
j-invariant |
L |
1.6229107936413 |
L(r)(E,1)/r! |
Ω |
1.8632867442953 |
Real period |
R |
0.21774839522281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7055b1 |
Quadratic twists by: 5 |