Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bq |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-796393472 = -1 · 219 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -1 4 7- 4 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-961,11873] |
[a1,a2,a3,a4,a6] |
Generators |
[37:160:1] |
Generators of the group modulo torsion |
j |
-7649089/62 |
j-invariant |
L |
8.0172885401062 |
L(r)(E,1)/r! |
Ω |
1.5997445631264 |
Real period |
R |
1.252901357705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216w1 24304o1 97216bg1 |
Quadratic twists by: -4 8 -7 |