Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1518h |
Isogeny class |
Conductor |
1518 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
81253269504 = 215 · 34 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-349235,-79466290] |
[a1,a2,a3,a4,a6] |
Generators |
[-2730:1367:8] |
Generators of the group modulo torsion |
j |
4710588959856854135593/81253269504 |
j-invariant |
L |
2.1083353122571 |
L(r)(E,1)/r! |
Ω |
0.19639040405106 |
Real period |
R |
2.6838573432907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12144x2 48576w2 4554bf2 37950bt2 |
Quadratic twists by: -4 8 -3 5 |