Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216w |
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 |
[13455:133664:125] |
Generators of the group modulo torsion |
j |
-7649089/62 |
j-invariant |
L |
9.9437498249404 |
L(r)(E,1)/r! |
Ω |
0.42849022858657 |
Real period |
R |
5.8016199435042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216bq1 3038j1 97216a1 |
Quadratic twists by: -4 8 -7 |