Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248v |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2021184 = -1 · 26 · 32 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,-30] |
[a1,a2,a3,a4,a6] |
Generators |
[3495:39950:27] |
Generators of the group modulo torsion |
j |
36594368/31581 |
j-invariant |
L |
10.220109475126 |
L(r)(E,1)/r! |
Ω |
1.4430765513044 |
Real period |
R |
7.08216723902 |
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 |
61248a1 30624k2 |
Quadratic twists by: -4 8 |