Atkin-Lehner |
2+ 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478w |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5201280 |
Modular degree for the optimal curve |
Δ |
-1.989736948219E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 3 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,510163,-162231075] |
[a1,a2,a3,a4,a6] |
Generators |
[386:9419:1] |
Generators of the group modulo torsion |
j |
51983899619351/70439337792 |
j-invariant |
L |
2.4253461757706 |
L(r)(E,1)/r! |
Ω |
0.11527078530496 |
Real period |
R |
5.2601057651194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000356406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478z1 |
Quadratic twists by: -7 |