Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136bb |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
682310408994816 = 217 · 3 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29416,-1470608] |
[a1,a2,a3,a4,a6] |
Generators |
[516:10976:1] |
Generators of the group modulo torsion |
j |
5841725401/1415904 |
j-invariant |
L |
4.4831745943478 |
L(r)(E,1)/r! |
Ω |
0.37097880039422 |
Real period |
R |
0.75529494507602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999813924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642r1 14448w1 |
Quadratic twists by: -4 -7 |