Atkin-Lehner |
3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553z |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1722320739942683517 = -1 · 32 · 74 · 13 · 1910 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,92228,-62206723] |
[a1,a2,a3,a4,a6] |
Generators |
[353:3614:1] [25364:374663:64] |
Generators of the group modulo torsion |
j |
1844124275447/36609384357 |
j-invariant |
L |
9.8976257215684 |
L(r)(E,1)/r! |
Ω |
0.12902748146045 |
Real period |
R |
9.5886798785609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187c4 |
Quadratic twists by: -19 |