Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bq |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3836160 |
Modular degree for the optimal curve |
Δ |
-6.9136133091527E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1016226,-67782420] |
[a1,a2,a3,a4,a6] |
Generators |
[5478:243681:8] |
Generators of the group modulo torsion |
j |
45326591/27000 |
j-invariant |
L |
3.4033168530393 |
L(r)(E,1)/r! |
Ω |
0.11394542511265 |
Real period |
R |
1.6593308375109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070bd1 123210cy1 |
Quadratic twists by: -3 37 |