Atkin-Lehner |
3+ 7- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104811b |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016000 |
Modular degree for the optimal curve |
Δ |
595469760318695997 = 35 · 710 · 234 · 31 |
Discriminant |
Eigenvalues |
0 3+ -2 7- 3 -4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2807569,1811244126] |
[a1,a2,a3,a4,a6] |
j |
8664325951848448/2108042253 |
j-invariant |
L |
0.5653779284729 |
L(r)(E,1)/r! |
Ω |
0.28268881844259 |
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 |
104811n1 |
Quadratic twists by: -7 |