Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350f |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
372380772460937500 = 22 · 512 · 136 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-185167,-8817759] |
[a1,a2,a3,a4,a6] |
Generators |
[664:12343:1] |
Generators of the group modulo torsion |
j |
44936141301085761/23832369437500 |
j-invariant |
L |
4.0812180469837 |
L(r)(E,1)/r! |
Ω |
0.2443947150586 |
Real period |
R |
1.3916074405829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10270f2 |
Quadratic twists by: 5 |