Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136br |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
670209662976 = 213 · 3 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3096,54384] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:344:1] [-23:336:1] |
Generators of the group modulo torsion |
j |
2336752783/477042 |
j-invariant |
L |
8.9096473309462 |
L(r)(E,1)/r! |
Ω |
0.85963346812694 |
Real period |
R |
0.43185301550752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642o1 101136cv1 |
Quadratic twists by: -4 -7 |