Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450cr |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-7.9028090581172E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1612513,-896849983] |
[a1,a2,a3,a4,a6] |
Generators |
[202280:3280931:125] |
Generators of the group modulo torsion |
j |
-47482476212808025/8092476475512 |
j-invariant |
L |
9.0274921304134 |
L(r)(E,1)/r! |
Ω |
0.06636918691525 |
Real period |
R |
4.5339775629822 |
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 |
64350bf2 21450q1 |
Quadratic twists by: -3 5 |