Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34656z |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-18240769728 = -1 · 26 · 37 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -6 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,602,3356] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-342:1] |
Generators of the group modulo torsion |
j |
2888000/2187 |
j-invariant |
L |
7.2710117505805 |
L(r)(E,1)/r! |
Ω |
0.78453484745139 |
Real period |
R |
0.22066493025411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34656b1 69312b1 103968h1 34656e1 |
Quadratic twists by: -4 8 -3 -19 |