Atkin-Lehner |
3- 7+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
69531i |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
25632 |
Modular degree for the optimal curve |
Δ |
-30663171 = -1 · 33 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
0 3- -3 7+ 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-947,10910] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:136:1] |
Generators of the group modulo torsion |
j |
-39159758848/12771 |
j-invariant |
L |
3.6788710421558 |
L(r)(E,1)/r! |
Ω |
2.0456265730276 |
Real period |
R |
1.7984079257158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69531e1 |
Quadratic twists by: -7 |