Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cs |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1968570296000000 = -1 · 29 · 56 · 75 · 114 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11- -5 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26280,2698347] |
[a1,a2,a3,a4,a6] |
Generators |
[2269:106665:1] [-191:945:1] |
Generators of the group modulo torsion |
j |
-8773917273/8605184 |
j-invariant |
L |
8.6817794430883 |
L(r)(E,1)/r! |
Ω |
0.42528487821654 |
Real period |
R |
0.037803764400166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1694b1 42350q1 |
Quadratic twists by: 5 -11 |