Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248v |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
113676288 = 212 · 3 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,-393] |
[a1,a2,a3,a4,a6] |
Generators |
[519:11832:1] |
Generators of the group modulo torsion |
j |
69934528/27753 |
j-invariant |
L |
10.220109475126 |
L(r)(E,1)/r! |
Ω |
1.4430765513044 |
Real period |
R |
3.54108361951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248a2 30624k1 |
Quadratic twists by: -4 8 |