Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800bu |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-5073024880000000 = -1 · 210 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,3426688] |
[a1,a2,a3,a4,a6] |
Generators |
[744:20384:1] |
Generators of the group modulo torsion |
j |
-4/2695 |
j-invariant |
L |
5.151158849578 |
L(r)(E,1)/r! |
Ω |
0.34322274509216 |
Real period |
R |
3.7520523833025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999508293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560b1 15400r1 |
Quadratic twists by: 5 -7 |