Atkin-Lehner |
2- 3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35742o |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
-60032835072 = -1 · 29 · 39 · 7 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-553,12761] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:131:1] |
Generators of the group modulo torsion |
j |
-18704589828625/60032835072 |
j-invariant |
L |
11.271226242812 |
L(r)(E,1)/r! |
Ω |
0.97459320514187 |
Real period |
R |
1.2850063645183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
107226o1 |
Quadratic twists by: -3 |