Atkin-Lehner |
2+ 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170i |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-298871775000000 = -1 · 26 · 36 · 58 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11925,-968139] |
[a1,a2,a3,a4,a6] |
Generators |
[95601:-5733113:27] |
Generators of the group modulo torsion |
j |
-257271591070801/409975000000 |
j-invariant |
L |
4.8497779854947 |
L(r)(E,1)/r! |
Ω |
0.21640342009288 |
Real period |
R |
5.6027048734589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998854 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7130i1 |
Quadratic twists by: -3 |