Atkin-Lehner |
2- 3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778bf |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
753984 |
Modular degree for the optimal curve |
Δ |
-9538112768976 = -1 · 24 · 33 · 118 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 11- 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-721707,-236288535] |
[a1,a2,a3,a4,a6] |
j |
-193938941698513/44496 |
j-invariant |
L |
0.98278962548108 |
L(r)(E,1)/r! |
Ω |
0.081899136061049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74778f1 |
Quadratic twists by: -11 |