Atkin-Lehner |
2- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600by |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
952945868800000000 = 235 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -2 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-665633,-203903137] |
[a1,a2,a3,a4,a6] |
j |
7962857630209/232652800 |
j-invariant |
L |
1.3395425832362 |
L(r)(E,1)/r! |
Ω |
0.16744285018329 |
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 |
113600y1 28400i1 22720bj1 |
Quadratic twists by: -4 8 5 |