Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550cb |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-9318750000000 = -1 · 27 · 3 · 511 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-588,-147219] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1797:1] |
Generators of the group modulo torsion |
j |
-1439069689/596400000 |
j-invariant |
L |
9.5016019934472 |
L(r)(E,1)/r! |
Ω |
0.32711267050174 |
Real period |
R |
1.037388517549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910m1 |
Quadratic twists by: 5 |