Atkin-Lehner |
2- 3- 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124614k |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
27724800 |
Modular degree for the optimal curve |
Δ |
-2.2151800526199E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 1 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,55182424,162414940011] |
[a1,a2,a3,a4,a6] |
Generators |
[6797:919353:1] |
Generators of the group modulo torsion |
j |
25491683203706757377333447/30386557649107457409024 |
j-invariant |
L |
8.9132987621403 |
L(r)(E,1)/r! |
Ω |
0.045341086854378 |
Real period |
R |
5.1732437672154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999476617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41538b1 |
Quadratic twists by: -3 |