Atkin-Lehner |
2+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9430d |
Isogeny class |
Conductor |
9430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-214462386667520000 = -1 · 224 · 54 · 233 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 6 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,102446,-18387372] |
[a1,a2,a3,a4,a6] |
Generators |
[2157:100089:1] |
Generators of the group modulo torsion |
j |
118906705297570472199/214462386667520000 |
j-invariant |
L |
3.1055891679781 |
L(r)(E,1)/r! |
Ω |
0.16547122536339 |
Real period |
R |
4.692038088734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440x1 84870bc1 47150l1 |
Quadratic twists by: -4 -3 5 |