Atkin-Lehner |
2+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350f |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
428483656250000 = 24 · 59 · 133 · 792 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-145667,-21339259] |
[a1,a2,a3,a4,a6] |
Generators |
[674:13313:1] |
Generators of the group modulo torsion |
j |
21877056646778241/27422954000 |
j-invariant |
L |
4.0812180469837 |
L(r)(E,1)/r! |
Ω |
0.2443947150586 |
Real period |
R |
2.7832148811659 |
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 |
10270f1 |
Quadratic twists by: 5 |