Atkin-Lehner |
2+ 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550h |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3620242187500 = 22 · 59 · 19 · 293 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -3 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-126025,-17272375] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:105:1] [-205:115:1] |
Generators of the group modulo torsion |
j |
14167042245656209/231695500 |
j-invariant |
L |
5.1803445150912 |
L(r)(E,1)/r! |
Ω |
0.25338759857555 |
Real period |
R |
5.111087267307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510h2 |
Quadratic twists by: 5 |