Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120bj |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3118694400 = 215 · 34 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50145,4305375] |
[a1,a2,a3,a4,a6] |
Generators |
[210:1755:1] |
Generators of the group modulo torsion |
j |
425564453260232/95175 |
j-invariant |
L |
6.56685944173 |
L(r)(E,1)/r! |
Ω |
1.1283009987023 |
Real period |
R |
2.9100654210582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45120s4 22560m4 |
Quadratic twists by: -4 8 |