Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600u |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
1.306947400759E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1293288,-133479828] |
[a1,a2,a3,a4,a6] |
Generators |
[-1014506014:40230227615:8242408] |
Generators of the group modulo torsion |
j |
36028234/19683 |
j-invariant |
L |
5.0922674689941 |
L(r)(E,1)/r! |
Ω |
0.15117617086361 |
Real period |
R |
16.842163148461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002563 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600ek1 72600cz1 |
Quadratic twists by: 5 -11 |