Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315d |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-15079670359875 = -1 · 39 · 53 · 112 · 373 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6102,35309] |
[a1,a2,a3,a4,a6] |
Generators |
[1:203:1] |
Generators of the group modulo torsion |
j |
1276582920192/766126625 |
j-invariant |
L |
4.091973449635 |
L(r)(E,1)/r! |
Ω |
0.42900962132416 |
Real period |
R |
0.79484881112241 |
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 |
18315e1 91575i2 |
Quadratic twists by: -3 5 |