Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bv |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2904541763207168 = 219 · 78 · 312 |
Discriminant |
Eigenvalues |
2- -2 2 7- -6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1637057,805652287] |
[a1,a2,a3,a4,a6] |
Generators |
[709:1372:1] |
Generators of the group modulo torsion |
j |
15732118860193/94178 |
j-invariant |
L |
4.7802355713176 |
L(r)(E,1)/r! |
Ω |
0.40219917714671 |
Real period |
R |
1.4856555673828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216y2 24304p2 13888v2 |
Quadratic twists by: -4 8 -7 |