Atkin-Lehner |
3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72963j |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.3187628617322E+21 |
Discriminant |
Eigenvalues |
1 3- -2 4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2940822,1977747921] |
[a1,a2,a3,a4,a6] |
Generators |
[55756529082387184886190:-3530224508425772245166123:24999801518157201000] |
Generators of the group modulo torsion |
j |
2177941476727367/2569760103537 |
j-invariant |
L |
7.1638322554645 |
L(r)(E,1)/r! |
Ω |
0.094375176213468 |
Real period |
R |
37.954007304506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24321m3 6633f4 |
Quadratic twists by: -3 -11 |