Atkin-Lehner |
3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311l |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6200064 |
Modular degree for the optimal curve |
Δ |
1.5281329949915E+19 |
Discriminant |
Eigenvalues |
0 3+ 4 7- -5 -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6787261,6805632279] |
[a1,a2,a3,a4,a6] |
Generators |
[-3391057:2146584038:24389] |
Generators of the group modulo torsion |
j |
414010867050405167104/182963924640693 |
j-invariant |
L |
5.8228852738564 |
L(r)(E,1)/r! |
Ω |
0.21782356926224 |
Real period |
R |
13.366059091283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999789434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115311n1 |
Quadratic twists by: 17 |