Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850be |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-413559764800 = -1 · 26 · 52 · 76 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-555196,159180858] |
[a1,a2,a3,a4,a6] |
Generators |
[433:-113:1] |
Generators of the group modulo torsion |
j |
-6434774386429585/140608 |
j-invariant |
L |
2.4458979411505 |
L(r)(E,1)/r! |
Ω |
0.68328582269072 |
Real period |
R |
0.59660195385456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31850cj2 650b2 |
Quadratic twists by: 5 -7 |