Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9800y |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
48020000000000 = 211 · 510 · 74 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10208,-218912] |
[a1,a2,a3,a4,a6] |
j |
2450 |
j-invariant |
L |
1.4767013888306 |
L(r)(E,1)/r! |
Ω |
0.49223379627687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600d1 78400i1 88200bm1 9800n1 |
Quadratic twists by: -4 8 -3 5 |