Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390q |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
13762560 |
Modular degree for the optimal curve |
Δ |
-1.2522029016412E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-187241129,-987650066644] |
[a1,a2,a3,a4,a6] |
Generators |
[1042952559:-100378704806:50653] |
Generators of the group modulo torsion |
j |
-6170768047181777430174841/10643549045391360000 |
j-invariant |
L |
5.002047385362 |
L(r)(E,1)/r! |
Ω |
0.020404424509785 |
Real period |
R |
8.7551868660329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770g1 |
Quadratic twists by: -7 |