Atkin-Lehner |
3+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635j |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
328088887867125 = 312 · 53 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1372077,-619179876] |
[a1,a2,a3,a4,a6] |
Generators |
[-5410:2819:8] |
Generators of the group modulo torsion |
j |
285666727550734603062361/328088887867125 |
j-invariant |
L |
4.3869411698074 |
L(r)(E,1)/r! |
Ω |
0.13949380549203 |
Real period |
R |
5.2415005745639 |
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 |
58905v4 98175bf4 |
Quadratic twists by: -3 5 |