Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700bj |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
31968 |
Modular degree for the optimal curve |
Δ |
-309523200 = -1 · 28 · 3 · 52 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107,-697] |
[a1,a2,a3,a4,a6] |
Generators |
[174:469:27] |
Generators of the group modulo torsion |
j |
20971520/48363 |
j-invariant |
L |
9.6607438529343 |
L(r)(E,1)/r! |
Ω |
0.89195784200064 |
Real period |
R |
3.6103140772926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700p1 |
Quadratic twists by: 5 |