Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bv |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-1.5873593598968E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,35212,-191680297] |
[a1,a2,a3,a4,a6] |
Generators |
[2109:95173:1] |
Generators of the group modulo torsion |
j |
6623382346043399/21774476816142336 |
j-invariant |
L |
12.172245245276 |
L(r)(E,1)/r! |
Ω |
0.10224049762287 |
Real period |
R |
0.49606261541563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894m1 |
Quadratic twists by: -3 |