Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400fk |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-33281802240000000 = -1 · 228 · 3 · 57 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392033,95015937] |
[a1,a2,a3,a4,a6] |
Generators |
[-713:3400:1] [301:2048:1] |
Generators of the group modulo torsion |
j |
-1626794704081/8125440 |
j-invariant |
L |
10.088794490452 |
L(r)(E,1)/r! |
Ω |
0.37068435900493 |
Real period |
R |
3.4020839580526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400dn1 27600cg1 22080cq1 |
Quadratic twists by: -4 8 5 |