Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088q |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-2443247616 = -1 · 216 · 3 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -3 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-720,7572] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:102:1] |
Generators of the group modulo torsion |
j |
-10091699281/596496 |
j-invariant |
L |
7.2727391091174 |
L(r)(E,1)/r! |
Ω |
1.4293072399279 |
Real period |
R |
1.2720741394769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4386l1 105264bp1 |
Quadratic twists by: -4 -3 |