Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315s |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
55020418880625 = 312 · 54 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33084,-2280285] |
[a1,a2,a3,a4,a6] |
Generators |
[654:15657:1] |
Generators of the group modulo torsion |
j |
5493607207846849/75473825625 |
j-invariant |
L |
5.2821488043178 |
L(r)(E,1)/r! |
Ω |
0.35428729928345 |
Real period |
R |
3.7273060698203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6105g2 91575bh2 |
Quadratic twists by: -3 5 |