Atkin-Lehner |
3- 7+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
95571f |
Isogeny class |
Conductor |
95571 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
396288 |
Modular degree for the optimal curve |
Δ |
705866487706233 = 39 · 73 · 37 · 414 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69291,6920424] |
[a1,a2,a3,a4,a6] |
j |
50469638798675377/968266786977 |
j-invariant |
L |
2.0343368213169 |
L(r)(E,1)/r! |
Ω |
0.50858420365618 |
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 |
31857c1 |
Quadratic twists by: -3 |