Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080cf |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
406 |
Product of Tamagawa factors cp |
deg |
246328320 |
Modular degree for the optimal curve |
Δ |
-1.3828839040871E+31 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3345244380,-193797916786872] |
[a1,a2,a3,a4,a6] |
Generators |
[172251:65884500:1] |
Generators of the group modulo torsion |
j |
-16172132698353537004823569955536/54018902503403928364717265625 |
j-invariant |
L |
9.9126269043265 |
L(r)(E,1)/r! |
Ω |
0.0091320276187659 |
Real period |
R |
2.6735943158604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31020h1 |
Quadratic twists by: -4 |