Atkin-Lehner |
2- 3+ 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700q |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-30843750000 = -1 · 24 · 3 · 59 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42,-8463] |
[a1,a2,a3,a4,a6] |
Generators |
[92:875:1] |
Generators of the group modulo torsion |
j |
256/987 |
j-invariant |
L |
5.7955955721858 |
L(r)(E,1)/r! |
Ω |
0.54367636110453 |
Real period |
R |
1.7766683709832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700bp1 |
Quadratic twists by: 5 |