Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635m |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28976640 |
Modular degree for the optimal curve |
Δ |
2.4152052324816E+26 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- -3 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1964748551,33511357390946] |
[a1,a2,a3,a4,a6] |
Generators |
[3769664235347040182:232378299497417988152:181235013633071] |
Generators of the group modulo torsion |
j |
3912939765290923440308224/1126711065673828125 |
j-invariant |
L |
5.5029247483447 |
L(r)(E,1)/r! |
Ω |
0.054354256859036 |
Real period |
R |
25.310458951799 |
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 |
52635o1 |
Quadratic twists by: -11 |