Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240bt |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-6707966400 = -1 · 26 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -6 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57,-3944] |
[a1,a2,a3,a4,a6] |
Generators |
[20:54:1] |
Generators of the group modulo torsion |
j |
-438976/143775 |
j-invariant |
L |
5.599088738505 |
L(r)(E,1)/r! |
Ω |
0.59677194258736 |
Real period |
R |
2.3455730629997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999938128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bh1 34080q1 |
Quadratic twists by: -4 -3 |