Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328n |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-8639474688 = -1 · 210 · 33 · 132 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-709,8773] |
[a1,a2,a3,a4,a6] |
Generators |
[12:43:1] |
Generators of the group modulo torsion |
j |
-38545604608/8436987 |
j-invariant |
L |
3.1008879642851 |
L(r)(E,1)/r! |
Ω |
1.2473541648149 |
Real period |
R |
1.2429861689231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328ci1 6708f1 |
Quadratic twists by: -4 8 |