Atkin-Lehner |
2+ 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450s |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-15444000000000 = -1 · 211 · 33 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6200,264000] |
[a1,a2,a3,a4,a6] |
j |
-13498272341/7907328 |
j-invariant |
L |
1.2960021018752 |
L(r)(E,1)/r! |
Ω |
0.64800105093761 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350fa1 21450cv1 |
Quadratic twists by: -3 5 |