Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104y |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-128468592 = -1 · 24 · 34 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,539] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] |
Generators of the group modulo torsion |
j |
-544000/27783 |
j-invariant |
L |
10.16828081407 |
L(r)(E,1)/r! |
Ω |
1.5354571324035 |
Real period |
R |
0.55185958428582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48552a1 97104a1 |
Quadratic twists by: -4 17 |