Atkin-Lehner |
3- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705t |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
19085609025 = 32 · 52 · 77 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-981,-9864] |
[a1,a2,a3,a4,a6] |
j |
887503681/162225 |
j-invariant |
L |
1.7276098992129 |
L(r)(E,1)/r! |
Ω |
0.8638049576681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10815e1 |
Quadratic twists by: -7 |