Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200w |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-97038351843750000 = -1 · 24 · 37 · 59 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,52592,14232937] |
[a1,a2,a3,a4,a6] |
j |
64347918907136/388153407375 |
j-invariant |
L |
0.97643401528627 |
L(r)(E,1)/r! |
Ω |
0.24410850382157 |
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 |
20400u1 81600cs1 30600u1 2040g1 |
Quadratic twists by: -4 8 -3 5 |