Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070x |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
4102560 |
Modular degree for the optimal curve |
Δ |
-1.1965296665575E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -5 -5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39045,5262820875] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:72644:1] |
Generators of the group modulo torsion |
j |
-1369/2488320 |
j-invariant |
L |
8.1046373851674 |
L(r)(E,1)/r! |
Ω |
0.10099420694479 |
Real period |
R |
7.2953215745943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210be1 41070c1 |
Quadratic twists by: -3 37 |