Atkin-Lehner |
2- 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450cc |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1179360 |
Modular degree for the optimal curve |
Δ |
-3.5214574161885E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1979038,-1402060069] |
[a1,a2,a3,a4,a6] |
j |
-1371532516387188269425/563433186590157312 |
j-invariant |
L |
1.6844085779832 |
L(r)(E,1)/r! |
Ω |
0.062385502888267 |
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 |
64350ce1 21450bg1 |
Quadratic twists by: -3 5 |