Atkin-Lehner |
3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93795u |
Isogeny class |
Conductor |
93795 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
1.2648828686992E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23134836,39261403791] |
[a1,a2,a3,a4,a6] |
Generators |
[-2469:286422:1] |
Generators of the group modulo torsion |
j |
283702311983803333321/26205364013765625 |
j-invariant |
L |
4.0184494407162 |
L(r)(E,1)/r! |
Ω |
0.10157414376487 |
Real period |
R |
0.98904339829436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999691284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215h1 |
Quadratic twists by: 13 |