Atkin-Lehner |
5- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20615g |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20823933025 = 52 · 74 · 192 · 312 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48102,4072604] |
[a1,a2,a3,a4,a6] |
Generators |
[766:4263:8] |
Generators of the group modulo torsion |
j |
12308486388374561841/20823933025 |
j-invariant |
L |
3.1449835702201 |
L(r)(E,1)/r! |
Ω |
1.0362778297098 |
Real period |
R |
3.0348845454898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103075l2 |
Quadratic twists by: 5 |