Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270bj |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-3533598527978027520 = -1 · 29 · 36 · 5 · 1110 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,306808,-62535221] |
[a1,a2,a3,a4,a6] |
Generators |
[51229:11570057:1] |
Generators of the group modulo torsion |
j |
4381245101504748231/4847185909434880 |
j-invariant |
L |
10.762910208209 |
L(r)(E,1)/r! |
Ω |
0.13493928651837 |
Real period |
R |
2.2155869924684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030d1 |
Quadratic twists by: -3 |