Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585x |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
13271040 |
Modular degree for the optimal curve |
Δ |
-2.3009257946841E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60369602,194748833976] |
[a1,a2,a3,a4,a6] |
j |
-283702311983803333321/26827910226744375 |
j-invariant |
L |
1.2803065195128 |
L(r)(E,1)/r! |
Ω |
0.080019153448753 |
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 |
27195c1 11655j1 |
Quadratic twists by: -3 -7 |