Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50430k |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
11241216 |
Modular degree for the optimal curve |
Δ |
1.6498792730104E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 5 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-167778124,-834199386934] |
[a1,a2,a3,a4,a6] |
Generators |
[-7607:47543:1] |
Generators of the group modulo torsion |
j |
65412215191030009/206624260800 |
j-invariant |
L |
5.34476413339 |
L(r)(E,1)/r! |
Ω |
0.041956398105075 |
Real period |
R |
1.8733608245539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430b1 |
Quadratic twists by: 41 |