Atkin-Lehner |
3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
78141d |
Isogeny class |
Conductor |
78141 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3541440 |
Modular degree for the optimal curve |
Δ |
-1.0522149091762E+20 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 4 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1668248,965643566] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:20465:1] [5474:394753:1] |
Generators of the group modulo torsion |
j |
-9966135808000/2042327763 |
j-invariant |
L |
5.0895965784434 |
L(r)(E,1)/r! |
Ω |
0.18044196528815 |
Real period |
R |
3.5257849874257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1281a1 |
Quadratic twists by: 61 |