Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280h |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
42554007936000 = 210 · 33 · 53 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60552040,181380091612] |
[a1,a2,a3,a4,a6] |
Generators |
[76842:5576285:8] |
Generators of the group modulo torsion |
j |
23977842325431771385038244/41556648375 |
j-invariant |
L |
5.833798862029 |
L(r)(E,1)/r! |
Ω |
0.29276823153714 |
Real period |
R |
6.6421128087092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76560n4 114840t4 |
Quadratic twists by: -4 -3 |