Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bl |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
-271270278125000 = -1 · 23 · 58 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13549,-508202] |
[a1,a2,a3,a4,a6] |
Generators |
[202:3136:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
4.4817624817722 |
L(r)(E,1)/r! |
Ω |
0.29982973435803 |
Real period |
R |
2.4912819778474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350ci1 350b1 |
Quadratic twists by: 5 -11 |