Atkin-Lehner |
2+ 5- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119990h |
Isogeny class |
Conductor |
119990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
636480 |
Modular degree for the optimal curve |
Δ |
1122970628915200 = 217 · 52 · 136 · 71 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 2 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70307,6962701] |
[a1,a2,a3,a4,a6] |
j |
7962857630209/232652800 |
j-invariant |
L |
0.97405720478138 |
L(r)(E,1)/r! |
Ω |
0.48702844389386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
710b1 |
Quadratic twists by: 13 |