Atkin-Lehner |
3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35217j |
Isogeny class |
Conductor |
35217 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-3773959371 = -1 · 39 · 73 · 13 · 43 |
Discriminant |
Eigenvalues |
0 3- -3 7- 3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,186,-2790] |
[a1,a2,a3,a4,a6] |
Generators |
[20:94:1] |
Generators of the group modulo torsion |
j |
976191488/5176899 |
j-invariant |
L |
4.3464407601064 |
L(r)(E,1)/r! |
Ω |
0.70208632209103 |
Real period |
R |
1.0317916338172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11739i1 |
Quadratic twists by: -3 |