Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92778p |
Isogeny class |
Conductor |
92778 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-33201349524 = -1 · 22 · 35 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -1 -6 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8882,318611] |
[a1,a2,a3,a4,a6] |
j |
-15880626913/6804 |
j-invariant |
L |
2.2953332944651 |
L(r)(E,1)/r! |
Ω |
1.1476667715255 |
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 |
92778r1 |
Quadratic twists by: -47 |