Atkin-Lehner |
3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97461f |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
31332639429 = 310 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
-2 3- -2 7+ -1 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6321,-193244] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:4:1] |
Generators of the group modulo torsion |
j |
15957372928/17901 |
j-invariant |
L |
1.9188327413016 |
L(r)(E,1)/r! |
Ω |
0.53546656637123 |
Real period |
R |
1.7917390955266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999988885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32487a1 97461p1 |
Quadratic twists by: -3 -7 |