Atkin-Lehner |
2+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216a |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-93694895587328 = -1 · 219 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ -4 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47105,3978241] |
[a1,a2,a3,a4,a6] |
Generators |
[33:1568:1] |
Generators of the group modulo torsion |
j |
-7649089/62 |
j-invariant |
L |
2.0519338624418 |
L(r)(E,1)/r! |
Ω |
0.60464661075145 |
Real period |
R |
0.28280070816748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999312982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216bg1 3038f1 97216w1 |
Quadratic twists by: -4 8 -7 |