Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bm |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-1.6722980489847E+21 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-779540,1985255648] |
[a1,a2,a3,a4,a6] |
Generators |
[-494:47432:1] |
Generators of the group modulo torsion |
j |
-12790248382259928000/408275890865400943 |
j-invariant |
L |
6.6014845006569 |
L(r)(E,1)/r! |
Ω |
0.12484475491808 |
Real period |
R |
0.62949462028093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999500022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344h1 56672x1 |
Quadratic twists by: -4 8 |