Atkin-Lehner |
2+ 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490k |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
80757626400 = 25 · 33 · 52 · 113 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6133254,5845834552] |
[a1,a2,a3,a4,a6] |
Generators |
[270520:6371523:125] |
Generators of the group modulo torsion |
j |
25515052283021802449294809/80757626400 |
j-invariant |
L |
4.7909443789273 |
L(r)(E,1)/r! |
Ω |
0.50976387357183 |
Real period |
R |
9.3983599609716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52470bh2 87450bs2 |
Quadratic twists by: -3 5 |