Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210ck |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3409920 |
Modular degree for the optimal curve |
Δ |
-2.2457388636589E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-731303,-331367969] |
[a1,a2,a3,a4,a6] |
Generators |
[1795:63422:1] |
Generators of the group modulo torsion |
j |
-12326391/6400 |
j-invariant |
L |
6.3882448483365 |
L(r)(E,1)/r! |
Ω |
0.079681379489986 |
Real period |
R |
5.0107729796984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123210u1 123210t1 |
Quadratic twists by: -3 37 |