Atkin-Lehner |
2+ 3- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42570d |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-442414003680000000 = -1 · 211 · 312 · 57 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,130365,-26412075] |
[a1,a2,a3,a4,a6] |
j |
336106829245202639/606877920000000 |
j-invariant |
L |
0.62309104721445 |
L(r)(E,1)/r! |
Ω |
0.15577276183795 |
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 |
14190p1 |
Quadratic twists by: -3 |