Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122034c |
Isogeny class |
Conductor |
122034 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7805952 |
Modular degree for the optimal curve |
Δ |
3.724673663575E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4149194,-1401926700] |
[a1,a2,a3,a4,a6] |
Generators |
[287495160757382771:-57369345354896978208:7237215346607] |
Generators of the group modulo torsion |
j |
1249695959916097/589220020224 |
j-invariant |
L |
5.6257285644732 |
L(r)(E,1)/r! |
Ω |
0.11076104380798 |
Real period |
R |
25.395791200047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997887914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2838f1 |
Quadratic twists by: -43 |