Atkin-Lehner |
2- 3+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
30282z |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-9306506496 = -1 · 28 · 3 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-72717,7517187] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-28:1] |
Generators of the group modulo torsion |
j |
-361446235206337/79104 |
j-invariant |
L |
4.8142948078808 |
L(r)(E,1)/r! |
Ω |
1.0291922864798 |
Real period |
R |
0.29235880354459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846bn1 618g1 |
Quadratic twists by: -3 -7 |