Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11050a |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20635322500000000 = 28 · 510 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71542,-2527884] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:2273:1] |
Generators of the group modulo torsion |
j |
2591733435976881/1320660640000 |
j-invariant |
L |
3.5241100869465 |
L(r)(E,1)/r! |
Ω |
0.30819589904387 |
Real period |
R |
5.7173215118686 |
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 |
88400s2 99450cs2 2210g2 |
Quadratic twists by: -4 -3 5 |