Atkin-Lehner |
2- 3- 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294y |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-43034339381870592 = -1 · 228 · 32 · 72 · 193 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29932,-9777264] |
[a1,a2,a3,a4,a6] |
Generators |
[280:4396:1] |
Generators of the group modulo torsion |
j |
2965719105366365375/43034339381870592 |
j-invariant |
L |
10.812870549745 |
L(r)(E,1)/r! |
Ω |
0.17659735589833 |
Real period |
R |
2.1867481890681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882t1 |
Quadratic twists by: -3 |