Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bw |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
12238261175633220 = 22 · 37 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-149850,21720960] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1100:1] |
Generators of the group modulo torsion |
j |
105756712489/3478020 |
j-invariant |
L |
5.8159873116076 |
L(r)(E,1)/r! |
Ω |
0.39848306074567 |
Real period |
R |
1.2162765670041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490dv1 8190bo1 |
Quadratic twists by: -3 13 |