Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640w |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
766635528960000 = 211 · 312 · 54 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54160,4646900] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:1620:1] |
Generators of the group modulo torsion |
j |
8579021289461282/374333754375 |
j-invariant |
L |
7.3925389492801 |
L(r)(E,1)/r! |
Ω |
0.49973720259101 |
Real period |
R |
0.6163688727253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320s3 115920r3 |
Quadratic twists by: -4 -3 |