Atkin-Lehner |
5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805i |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
92970283984375 = 58 · 77 · 172 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 6 6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12374,254797] |
[a1,a2,a3,a4,a6] |
j |
6161940649/2734375 |
j-invariant |
L |
4.329364516189 |
L(r)(E,1)/r! |
Ω |
0.5411705646797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115l1 70805bp1 |
Quadratic twists by: -7 17 |