Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400s |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
2337356250000 = 24 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84375,9433125] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:2727:8] |
Generators of the group modulo torsion |
j |
540000000/19 |
j-invariant |
L |
5.8896457098959 |
L(r)(E,1)/r! |
Ω |
0.76515708747704 |
Real period |
R |
3.8486513462326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200j1 68400t1 68400g1 |
Quadratic twists by: -4 -3 5 |