Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400dn |
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 |
[264143643:1525814700:357911] |
Generators of the group modulo torsion |
j |
-1626794704081/8125440 |
j-invariant |
L |
9.7838710044294 |
L(r)(E,1)/r! |
Ω |
0.095369403896252 |
Real period |
R |
12.823650169356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fk1 3450c1 22080b1 |
Quadratic twists by: -4 8 5 |