Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275cy |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34231680 |
Modular degree for the optimal curve |
Δ |
-9.6189539796949E+25 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-612255000,-5850109655469] |
[a1,a2,a3,a4,a6] |
Generators |
[47506947301764762474934422844047161564793903727319903417082659:14392147511613127025616370285870277223746789576684696191068179605:481865415661201251201919884304125663941697541287772840141] |
Generators of the group modulo torsion |
j |
-12621552025600/47832147 |
j-invariant |
L |
5.7015838789726 |
L(r)(E,1)/r! |
Ω |
0.015171829681026 |
Real period |
R |
93.950169472686 |
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 |
40425cn1 121275fj1 121275ck1 |
Quadratic twists by: -3 5 -7 |