Atkin-Lehner |
3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18315b |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
21513864990234375 = 39 · 512 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102008,10391356] |
[a1,a2,a3,a4,a6] |
Generators |
[-514:32923:8] |
Generators of the group modulo torsion |
j |
5963910624868923/1093017578125 |
j-invariant |
L |
3.2406358041133 |
L(r)(E,1)/r! |
Ω |
0.36375248810897 |
Real period |
R |
4.4544517357947 |
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 |
18315f2 91575e2 |
Quadratic twists by: -3 5 |