Atkin-Lehner |
2+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810q |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5619292880 = -1 · 24 · 5 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ -1 5- 1 -6 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,428,1376] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-264:1] |
Generators of the group modulo torsion |
j |
103436279/67280 |
j-invariant |
L |
3.1437209762326 |
L(r)(E,1)/r! |
Ω |
0.84521720827808 |
Real period |
R |
0.30995198148939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810c1 |
Quadratic twists by: 17 |