Atkin-Lehner |
2- 3- 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70110bl |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
deg |
31426560 |
Modular degree for the optimal curve |
Δ |
-1.8208773565319E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1308540767,18220671102791] |
[a1,a2,a3,a4,a6] |
Generators |
[20571:75214:1] |
Generators of the group modulo torsion |
j |
-339905315183446320359973196969/24977741516212500000000 |
j-invariant |
L |
12.0674121683 |
L(r)(E,1)/r! |
Ω |
0.065623488337896 |
Real period |
R |
0.2089643315426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370e1 |
Quadratic twists by: -3 |