Atkin-Lehner |
2- 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040bo |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
-29962240 = -1 · 212 · 5 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,259] |
[a1,a2,a3,a4,a6] |
j |
-262144/7315 |
j-invariant |
L |
1.7493414641362 |
L(r)(E,1)/r! |
Ω |
1.7493415777521 |
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 |
7315a1 |
Quadratic twists by: -4 |