Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570v |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-3746234892288000 = -1 · 227 · 3 · 53 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20456,-2719258] |
[a1,a2,a3,a4,a6] |
Generators |
[1422:19745:8] |
Generators of the group modulo torsion |
j |
394297674646631/1560281088000 |
j-invariant |
L |
4.7459221709344 |
L(r)(E,1)/r! |
Ω |
0.22430830970638 |
Real period |
R |
7.0526770008993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570k2 |
Quadratic twists by: -7 |