Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056q |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
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 |
[121:954:1] |
Generators of the group modulo torsion |
j |
35969456/1912699899 |
j-invariant |
L |
6.5121818627628 |
L(r)(E,1)/r! |
Ω |
0.24781711035202 |
Real period |
R |
3.2847721115343 |
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 |
68112t1 11352b1 |
Quadratic twists by: -4 -3 |