Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41382bi |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
12266496 |
Modular degree for the optimal curve |
Δ |
2.5368790811266E+25 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122102696,459345647467] |
[a1,a2,a3,a4,a6] |
j |
4337844797073969/546605891584 |
j-invariant |
L |
2.8466309357173 |
L(r)(E,1)/r! |
Ω |
0.064696157630442 |
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 |
41382a1 41382b1 |
Quadratic twists by: -3 -11 |