Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050j |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
3612032994062500000 = 25 · 510 · 73 · 173 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-653450,-181863500] |
[a1,a2,a3,a4,a6] |
Generators |
[-351:2275:1] |
Generators of the group modulo torsion |
j |
3159816002040625/369872178592 |
j-invariant |
L |
3.7827354882881 |
L(r)(E,1)/r! |
Ω |
0.16920049667873 |
Real period |
R |
2.484058563598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050cu2 |
Quadratic twists by: 5 |