Atkin-Lehner |
2- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328m |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-24915968 = -1 · 212 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11+ 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,72,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] [18:82:1] |
Generators of the group modulo torsion |
j |
9938375/6083 |
j-invariant |
L |
9.2981577750108 |
L(r)(E,1)/r! |
Ω |
1.2299402983353 |
Real period |
R |
1.8899612014568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083g1 |
Quadratic twists by: -4 |