Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700l |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
43181250000 = 24 · 3 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57533,-5292438] |
[a1,a2,a3,a4,a6] |
Generators |
[38692:859901:64] |
Generators of the group modulo torsion |
j |
84244646723584/172725 |
j-invariant |
L |
5.1849286938706 |
L(r)(E,1)/r! |
Ω |
0.30826180988668 |
Real period |
R |
8.40994330825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740p1 |
Quadratic twists by: 5 |