Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bm |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
2845920 |
Modular degree for the optimal curve |
Δ |
-1.6992789625024E+21 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108643299,435897210230] |
[a1,a2,a3,a4,a6] |
j |
-688691336801860161/8251953125 |
j-invariant |
L |
2.9865025122461 |
L(r)(E,1)/r! |
Ω |
0.13575011419304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3185c1 28665u1 |
Quadratic twists by: -3 -7 |