Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402u |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
4080384 |
Modular degree for the optimal curve |
Δ |
-4.8591010147862E+23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 -2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3539416,33441316649] |
[a1,a2,a3,a4,a6] |
Generators |
[259239:26223743:27] |
Generators of the group modulo torsion |
j |
41680247940186217487/4130167714800992256 |
j-invariant |
L |
8.0058541338935 |
L(r)(E,1)/r! |
Ω |
0.07149306998462 |
Real period |
R |
1.2171830591133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73206y1 3486o1 |
Quadratic twists by: -3 -7 |