Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705o |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-7224380156188125 = -1 · 33 · 54 · 79 · 1032 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30991,-3506443] |
[a1,a2,a3,a4,a6] |
Generators |
[5718:153887:8] |
Generators of the group modulo torsion |
j |
81577100753/179026875 |
j-invariant |
L |
7.5072087693074 |
L(r)(E,1)/r! |
Ω |
0.21742570672488 |
Real period |
R |
5.7546160502832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705k2 |
Quadratic twists by: -7 |