Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
63948f |
Isogeny class |
Conductor |
63948 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
639360 |
Modular degree for the optimal curve |
Δ |
-687236567075986176 = -1 · 28 · 35 · 737 |
Discriminant |
Eigenvalues |
2- 3- 1 2 4 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-326845,82132127] |
[a1,a2,a3,a4,a6] |
Generators |
[2141:95922:1] |
Generators of the group modulo torsion |
j |
-99672064/17739 |
j-invariant |
L |
9.7828477514269 |
L(r)(E,1)/r! |
Ω |
0.27550051931551 |
Real period |
R |
1.1836454096681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
876b1 |
Quadratic twists by: 73 |