Atkin-Lehner |
2+ 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478p |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1819680 |
Modular degree for the optimal curve |
Δ |
-7068728426102784 = -1 · 217 · 32 · 72 · 19 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116001,15687477] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-885:1] |
Generators of the group modulo torsion |
j |
-3523048981544326633/144259763798016 |
j-invariant |
L |
3.8972348747371 |
L(r)(E,1)/r! |
Ω |
0.41619619219748 |
Real period |
R |
0.93639370334376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998394846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478bf1 |
Quadratic twists by: -7 |