Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990cc |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
161494675292160 = 216 · 39 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-634568,194722827] |
[a1,a2,a3,a4,a6] |
Generators |
[455:-39:1] |
Generators of the group modulo torsion |
j |
38764130353913837881/221529047040 |
j-invariant |
L |
8.1346322809886 |
L(r)(E,1)/r! |
Ω |
0.51097682638092 |
Real period |
R |
0.33166182320653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330g1 |
Quadratic twists by: -3 |