Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874ba |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-4950903335616 = -1 · 26 · 33 · 79 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 3 7 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2402,115247] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:343:1] |
Generators of the group modulo torsion |
j |
-13027640977/42081984 |
j-invariant |
L |
5.7498494239928 |
L(r)(E,1)/r! |
Ω |
0.67460863140729 |
Real period |
R |
0.35513488588673 |
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 |
62622bd1 2982k1 |
Quadratic twists by: -3 -7 |