Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752k |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
108544 |
Modular degree for the optimal curve |
Δ |
1193647104 = 210 · 37 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 3 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20739,1149554] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:1314:1] [82:18:1] |
Generators of the group modulo torsion |
j |
1321477161988/1599 |
j-invariant |
L |
9.3817050023823 |
L(r)(E,1)/r! |
Ω |
1.3000722468887 |
Real period |
R |
0.9020368891647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376e1 25584a1 |
Quadratic twists by: -4 -3 |