Atkin-Lehner |
3+ 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19095d |
Isogeny class |
Conductor |
19095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
146936025 = 35 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 -4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-307,1864] |
[a1,a2,a3,a4,a6] |
Generators |
[84:718:1] |
Generators of the group modulo torsion |
j |
3216231793081/146936025 |
j-invariant |
L |
5.4027179294496 |
L(r)(E,1)/r! |
Ω |
1.8120915967335 |
Real period |
R |
2.9814816972766 |
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 |
57285c1 95475o1 |
Quadratic twists by: -3 5 |