Atkin-Lehner |
3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705f |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
5260470987515625 = 34 · 56 · 79 · 103 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45326,-1291102] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:1514:1] |
Generators of the group modulo torsion |
j |
255202035607/130359375 |
j-invariant |
L |
2.1535248848254 |
L(r)(E,1)/r! |
Ω |
0.34555445736347 |
Real period |
R |
3.1160426927143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705x1 |
Quadratic twists by: -7 |