Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400u |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
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 |
2.3621765207754 |
L(r)(E,1)/r! |
Ω |
0.1687268943411 |
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 |
10200w1 81600fl1 61200bs1 4080e1 |
Quadratic twists by: -4 8 -3 5 |