Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800bi |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-16141442800 = -1 · 24 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,-3303] |
[a1,a2,a3,a4,a6] |
Generators |
[156:343:27] |
Generators of the group modulo torsion |
j |
1280 |
j-invariant |
L |
6.0086952977201 |
L(r)(E,1)/r! |
Ω |
0.68955051667472 |
Real period |
R |
2.1784826319529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600y1 78400ct1 88200cl1 9800s1 |
Quadratic twists by: -4 8 -3 5 |