Atkin-Lehner |
3+ 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98553h |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15064029795417057 = 33 · 7 · 13 · 1910 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4733259,3961611552] |
[a1,a2,a3,a4,a6] |
Generators |
[2249:67419:1] |
Generators of the group modulo torsion |
j |
249277408000169977/320198697 |
j-invariant |
L |
2.432964706003 |
L(r)(E,1)/r! |
Ω |
0.33350994954188 |
Real period |
R |
7.2950289177163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999167635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187d3 |
Quadratic twists by: -19 |