Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27636l |
Isogeny class |
Conductor |
27636 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.1611973971755E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24294804,-21595516200] |
[a1,a2,a3,a4,a6] |
j |
153511743326188336/69320760676281 |
j-invariant |
L |
1.2770712318082 |
L(r)(E,1)/r! |
Ω |
0.070948401767126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544du2 82908u2 27636t2 |
Quadratic twists by: -4 -3 -7 |