Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700bl |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-44070783750000 = -1 · 24 · 37 · 57 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3842,-304687] |
[a1,a2,a3,a4,a6] |
Generators |
[278:-4725:1] |
Generators of the group modulo torsion |
j |
25080878336/176283135 |
j-invariant |
L |
9.8993563274457 |
L(r)(E,1)/r! |
Ω |
0.31903954389503 |
Real period |
R |
0.12312943888477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740c1 |
Quadratic twists by: 5 |