Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478cv |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-837893457554533632 = -1 · 28 · 32 · 72 · 199 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-410838,-110545884] |
[a1,a2,a3,a4,a6] |
Generators |
[960:19014:1] |
Generators of the group modulo torsion |
j |
-156509072324795640625/17099866480704768 |
j-invariant |
L |
13.886033280708 |
L(r)(E,1)/r! |
Ω |
0.093709484401189 |
Real period |
R |
1.0290397692561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478br1 |
Quadratic twists by: -7 |