Atkin-Lehner |
7+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93499a |
Isogeny class |
Conductor |
93499 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
784320 |
Modular degree for the optimal curve |
Δ |
-114415699689197809 = -1 · 7 · 199 · 373 |
Discriminant |
Eigenvalues |
1 2 -1 7+ -4 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,55587,15495914] |
[a1,a2,a3,a4,a6] |
Generators |
[-180290858:780355960:1030301] |
Generators of the group modulo torsion |
j |
58863869/354571 |
j-invariant |
L |
7.314507288221 |
L(r)(E,1)/r! |
Ω |
0.2407691094857 |
Real period |
R |
15.189878992219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93499b1 |
Quadratic twists by: -19 |