Atkin-Lehner |
2- 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630bl |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
2659974266880 = 214 · 38 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3488,-10429] |
[a1,a2,a3,a4,a6] |
Generators |
[141:-1583:1] |
Generators of the group modulo torsion |
j |
6435893935801/3648798720 |
j-invariant |
L |
9.8026523116432 |
L(r)(E,1)/r! |
Ω |
0.67044601429922 |
Real period |
R |
0.52218182813296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210p1 |
Quadratic twists by: -3 |