Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058o |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.7145275305604E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91687,-250906966] |
[a1,a2,a3,a4,a6] |
Generators |
[39042967682301:1578772868852644:21647657403] |
Generators of the group modulo torsion |
j |
-143301984337/45635862528 |
j-invariant |
L |
5.8191297350263 |
L(r)(E,1)/r! |
Ω |
0.094431830070773 |
Real period |
R |
15.405636253452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061442 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002j1 |
Quadratic twists by: 29 |