Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705q |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
13003884281138625 = 35 · 53 · 79 · 1032 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55566736,159425515535] |
[a1,a2,a3,a4,a6] |
Generators |
[4310:-1435:1] |
Generators of the group modulo torsion |
j |
470203668871871844727/322248375 |
j-invariant |
L |
4.2197330880135 |
L(r)(E,1)/r! |
Ω |
0.24649690258299 |
Real period |
R |
3.423761551366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705m2 |
Quadratic twists by: -7 |