Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215w |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-7782075 = -1 · 36 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44022,-3555108] |
[a1,a2,a3,a4,a6] |
Generators |
[3250:54023:8] |
Generators of the group modulo torsion |
j |
-12942122082402304/10675 |
j-invariant |
L |
4.3214109800216 |
L(r)(E,1)/r! |
Ω |
0.16479806825112 |
Real period |
R |
6.5556153447085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2135c1 96075t1 |
Quadratic twists by: -3 5 |