Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778bc |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-12002510241792 = -1 · 218 · 32 · 72 · 473 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-168447,26596377] |
[a1,a2,a3,a4,a6] |
Generators |
[198:909:1] |
Generators of the group modulo torsion |
j |
-5091199807905791/115605504 |
j-invariant |
L |
15.884152639337 |
L(r)(E,1)/r! |
Ω |
0.66013239721862 |
Real period |
R |
0.66839086164572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92778be1 |
Quadratic twists by: -47 |