Atkin-Lehner |
2- 3+ 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650by |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
315792000000 = 210 · 33 · 56 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10013,380531] |
[a1,a2,a3,a4,a6] |
Generators |
[5:572:1] |
Generators of the group modulo torsion |
j |
7105572015625/20210688 |
j-invariant |
L |
10.571116681134 |
L(r)(E,1)/r! |
Ω |
0.97001290332563 |
Real period |
R |
2.1795826840126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386g1 |
Quadratic twists by: 5 |