Atkin-Lehner |
2- 3+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760p |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-8.8351075563842E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11+ -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2911040,4910781612] |
[a1,a2,a3,a4,a6] |
Generators |
[12089:1317690:1] |
Generators of the group modulo torsion |
j |
-1332104907040976661122/4314017361515709375 |
j-invariant |
L |
5.229309298547 |
L(r)(E,1)/r! |
Ω |
0.114303443194 |
Real period |
R |
2.2874679679437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520t1 |
Quadratic twists by: -4 |