Atkin-Lehner |
2+ 5- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550m |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
381600 |
Modular degree for the optimal curve |
Δ |
186050539843750 = 2 · 58 · 235 · 37 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 -6 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15742,-379834] |
[a1,a2,a3,a4,a6] |
Generators |
[-2985:1757:27] |
Generators of the group modulo torsion |
j |
1104482705625/476289382 |
j-invariant |
L |
7.5635904105937 |
L(r)(E,1)/r! |
Ω |
0.4432218288703 |
Real period |
R |
3.4130044677005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550r1 |
Quadratic twists by: 5 |