Atkin-Lehner |
2- 3- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
36846ba |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
764038656 = 29 · 36 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 4 4 -7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2138,38553] |
[a1,a2,a3,a4,a6] |
Generators |
[29:3:1] |
Generators of the group modulo torsion |
j |
1481933914201/1048064 |
j-invariant |
L |
9.9183016000312 |
L(r)(E,1)/r! |
Ω |
1.5825515773774 |
Real period |
R |
0.34818249429212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094a1 |
Quadratic twists by: -3 |