Atkin-Lehner |
3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
80613i |
Isogeny class |
Conductor |
80613 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-1.2119192367451E+21 |
Discriminant |
Eigenvalues |
1 3- 2 -2 -2 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,251694,-1674281075] |
[a1,a2,a3,a4,a6] |
Generators |
[5006300:225047315:2197] |
Generators of the group modulo torsion |
j |
17546087/12059037 |
j-invariant |
L |
7.1689292704347 |
L(r)(E,1)/r! |
Ω |
0.071764527337359 |
Real period |
R |
8.3245970441749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006479 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26871b1 80613k1 |
Quadratic twists by: -3 13 |