Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620h |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
3696994904400 = 24 · 39 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4752,-85671] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:37:1] |
Generators of the group modulo torsion |
j |
37682675712/11739175 |
j-invariant |
L |
6.4619229452262 |
L(r)(E,1)/r! |
Ω |
0.58904946431579 |
Real period |
R |
1.8283475714349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46620a1 |
Quadratic twists by: -3 |