Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18700c |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-2615681200 = -1 · 24 · 52 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47,2442] |
[a1,a2,a3,a4,a6] |
Generators |
[3:51:1] |
Generators of the group modulo torsion |
j |
28098560/6539203 |
j-invariant |
L |
7.3077602477177 |
L(r)(E,1)/r! |
Ω |
1.1148286380932 |
Real period |
R |
0.72833916631918 |
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 |
74800ck2 18700j2 |
Quadratic twists by: -4 5 |