Atkin-Lehner |
2- 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
113652w |
Isogeny class |
Conductor |
113652 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
4152960 |
Modular degree for the optimal curve |
Δ |
-9.2482721656815E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-464313,-1468207519] |
[a1,a2,a3,a4,a6] |
Generators |
[24016:3720087:1] |
Generators of the group modulo torsion |
j |
-949092914702338816/79289027483552271 |
j-invariant |
L |
7.0539150097399 |
L(r)(E,1)/r! |
Ω |
0.069415782311019 |
Real period |
R |
1.6936386252559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37884c1 |
Quadratic twists by: -3 |