Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68112t |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-356955705950976 = -1 · 28 · 313 · 11 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,393,908998] |
[a1,a2,a3,a4,a6] |
Generators |
[29:972:1] [113:1548:1] |
Generators of the group modulo torsion |
j |
35969456/1912699899 |
j-invariant |
L |
10.181706334796 |
L(r)(E,1)/r! |
Ω |
0.42556225206414 |
Real period |
R |
0.99688767481904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34056q1 22704k1 |
Quadratic twists by: -4 -3 |