Atkin-Lehner |
2+ 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290h |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
21125348562500 = 22 · 56 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-271583,-54588463] |
[a1,a2,a3,a4,a6] |
Generators |
[-20754364:11798057:68921] |
Generators of the group modulo torsion |
j |
18829800329506921/179562500 |
j-invariant |
L |
6.8937916059985 |
L(r)(E,1)/r! |
Ω |
0.2091336655832 |
Real period |
R |
8.2408917511911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210b1 |
Quadratic twists by: -7 |