Atkin-Lehner |
3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27195c |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-3.1562768102662E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6707733,-7215155688] |
[a1,a2,a3,a4,a6] |
j |
-283702311983803333321/26827910226744375 |
j-invariant |
L |
1.492955886408 |
L(r)(E,1)/r! |
Ω |
0.046654871450257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585x1 3885k1 |
Quadratic twists by: -3 -7 |