Atkin-Lehner |
2- 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700br |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
832781250000 = 24 · 34 · 59 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1110333,449957088] |
[a1,a2,a3,a4,a6] |
j |
4844331164106752/26649 |
j-invariant |
L |
4.8549322671419 |
L(r)(E,1)/r! |
Ω |
0.60686651699533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98700r1 |
Quadratic twists by: 5 |