Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840b |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4193648640000 = 220 · 34 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108161,13727361] |
[a1,a2,a3,a4,a6] |
Generators |
[193:64:1] |
Generators of the group modulo torsion |
j |
533826202534561/15997500 |
j-invariant |
L |
3.4624932337363 |
L(r)(E,1)/r! |
Ω |
0.72581965818039 |
Real period |
R |
1.1926148578732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75840cf4 2370l3 |
Quadratic twists by: -4 8 |