Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cg |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-520028160000000 = -1 · 222 · 3 · 57 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98008,11827988] |
[a1,a2,a3,a4,a6] |
Generators |
[52:2622:1] |
Generators of the group modulo torsion |
j |
-1626794704081/8125440 |
j-invariant |
L |
6.6917989153534 |
L(r)(E,1)/r! |
Ω |
0.52422684786435 |
Real period |
R |
3.191270602896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3450c1 110400fk1 82800dt1 5520t1 |
Quadratic twists by: -4 8 -3 5 |