Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720bj |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-439006988288000 = -1 · 214 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-211185,-37297775] |
[a1,a2,a3,a4,a6] |
Generators |
[565:4840:1] |
Generators of the group modulo torsion |
j |
-296587984/125 |
j-invariant |
L |
4.269140673519 |
L(r)(E,1)/r! |
Ω |
0.11135062045611 |
Real period |
R |
1.0649894939544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720dd2 2420d2 38720bh2 |
Quadratic twists by: -4 8 -11 |