Atkin-Lehner |
2- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104512j |
Isogeny class |
Conductor |
104512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5512704 |
Modular degree for the optimal curve |
Δ |
-5.8835025531968E+19 |
Discriminant |
Eigenvalues |
2- -3 3 -2 -4 -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,968564,-39761648] |
[a1,a2,a3,a4,a6] |
Generators |
[1204589442:122448510976:117649] |
Generators of the group modulo torsion |
j |
383326425227048967/224437811019776 |
j-invariant |
L |
3.9917483002171 |
L(r)(E,1)/r! |
Ω |
0.11642352213511 |
Real period |
R |
8.5716103781845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104512a1 26128d1 |
Quadratic twists by: -4 8 |