Atkin-Lehner |
2- 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160ba |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3559680 = -1 · 28 · 33 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33,-54] |
[a1,a2,a3,a4,a6] |
Generators |
[18:45:8] |
Generators of the group modulo torsion |
j |
574992/515 |
j-invariant |
L |
7.5652993562791 |
L(r)(E,1)/r! |
Ω |
1.3718246463395 |
Real period |
R |
2.7573857110438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000702 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18540b1 74160u1 |
Quadratic twists by: -4 -3 |