Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775bs |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
7.0624691928815E+20 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 5 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23072250,-42637118594] |
[a1,a2,a3,a4,a6] |
Generators |
[-962150:1120666:343] |
Generators of the group modulo torsion |
j |
4769863992106516480/2480098920957 |
j-invariant |
L |
3.6565695931497 |
L(r)(E,1)/r! |
Ω |
0.068887531187251 |
Real period |
R |
4.4233568471804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8925l1 26775bo1 |
Quadratic twists by: -3 5 |