Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040ci |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
301289124165216000 = 28 · 3 · 53 · 1112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188316,-17023620] |
[a1,a2,a3,a4,a6] |
Generators |
[240914110:15881520235:54872] |
Generators of the group modulo torsion |
j |
1628514404944/664335375 |
j-invariant |
L |
3.7319447571213 |
L(r)(E,1)/r! |
Ω |
0.23750594272194 |
Real period |
R |
15.713058436986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7260p4 116160jp4 87120gl4 2640p4 |
Quadratic twists by: -4 8 -3 -11 |