Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650k |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-5.142016049112E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54355500,-188952750000] |
[a1,a2,a3,a4,a6] |
Generators |
[112905:37797885:1] |
Generators of the group modulo torsion |
j |
-1136669439536177967564481/329089027143166617600 |
j-invariant |
L |
2.9362833849853 |
L(r)(E,1)/r! |
Ω |
0.0273910177142 |
Real period |
R |
3.8285274699782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200fm2 40950eq2 2730bc2 95550dv2 |
Quadratic twists by: -4 -3 5 -7 |