Atkin-Lehner |
5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
80275k |
Isogeny class |
Conductor |
80275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-1210850288984375 = -1 · 57 · 138 · 19 |
Discriminant |
Eigenvalues |
-1 1 5+ 4 3 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42338,-3751333] |
[a1,a2,a3,a4,a6] |
j |
-658489/95 |
j-invariant |
L |
0.99056169605042 |
L(r)(E,1)/r! |
Ω |
0.16509362055734 |
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 |
16055b1 80275c1 |
Quadratic twists by: 5 13 |