Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93632w |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-71789389681856 = -1 · 26 · 710 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 1 1 7- 11+ -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10395,573251] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:6517:8] |
Generators of the group modulo torsion |
j |
-1941149559222784/1121709213779 |
j-invariant |
L |
7.8697081463686 |
L(r)(E,1)/r! |
Ω |
0.57037890753835 |
Real period |
R |
0.68986668666195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93632v1 46816l1 |
Quadratic twists by: -4 8 |