Atkin-Lehner |
2+ 3- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
97128f |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
335872 |
Modular degree for the optimal curve |
Δ |
-139870222274304 = -1 · 28 · 310 · 194 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12921,64730] |
[a1,a2,a3,a4,a6] |
j |
1278334759088/749476071 |
j-invariant |
L |
2.8217369788257 |
L(r)(E,1)/r! |
Ω |
0.35271714224413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32376e1 |
Quadratic twists by: -3 |