Atkin-Lehner |
2+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35258a |
Isogeny class |
Conductor |
35258 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-18485346304 = -1 · 220 · 172 · 61 |
Discriminant |
Eigenvalues |
2+ 0 3 -1 3 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,592,3328] |
[a1,a2,a3,a4,a6] |
Generators |
[736:19600:1] |
Generators of the group modulo torsion |
j |
79319190087/63963136 |
j-invariant |
L |
4.9779597748054 |
L(r)(E,1)/r! |
Ω |
0.78967573250115 |
Real period |
R |
3.1519011981269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35258e1 |
Quadratic twists by: 17 |