Atkin-Lehner |
2+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650u |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10053120 |
Modular degree for the optimal curve |
Δ |
-1.747334242304E+21 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ -4 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1690883,-1824854459] |
[a1,a2,a3,a4,a6] |
Generators |
[3369:203503:1] [7370:637339:1] |
Generators of the group modulo torsion |
j |
47484282699/155189248 |
j-invariant |
L |
4.9846232966017 |
L(r)(E,1)/r! |
Ω |
0.076115140291198 |
Real period |
R |
5.457327847888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650cx1 90650bf1 |
Quadratic twists by: 5 -7 |