Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91035z |
Isogeny class |
Conductor |
91035 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
576080859375 = 36 · 58 · 7 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -6 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2273,20706] |
[a1,a2,a3,a4,a6] |
Generators |
[60:282:1] |
Generators of the group modulo torsion |
j |
6161940649/2734375 |
j-invariant |
L |
1.7966009377684 |
L(r)(E,1)/r! |
Ω |
0.82665169217558 |
Real period |
R |
1.0866734732776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115l1 91035bm1 |
Quadratic twists by: -3 17 |