Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bo |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
181533860200448 = 215 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 0 4 7- 6 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16268,-466480] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:245:1] |
Generators of the group modulo torsion |
j |
123505992/47089 |
j-invariant |
L |
9.8545777714399 |
L(r)(E,1)/r! |
Ω |
0.43652913535184 |
Real period |
R |
2.8218556755091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216cd2 48608a2 13888p2 |
Quadratic twists by: -4 8 -7 |