Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545i |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-2.8466497502656E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7410687,7766054136] |
[a1,a2,a3,a4,a6] |
Generators |
[198708:7660041:64] |
Generators of the group modulo torsion |
j |
-382570056949462495849/241961236412175 |
j-invariant |
L |
5.1578822468607 |
L(r)(E,1)/r! |
Ω |
0.20786807007763 |
Real period |
R |
6.2033123280246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635w1 4935c1 |
Quadratic twists by: -3 -7 |