Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490bz |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-6.2334760720799E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4730612,-3977256621] |
[a1,a2,a3,a4,a6] |
Generators |
[702908229560741632691117939899816:-109622231874156032309619447195081657:28845650314473085921580993024] |
Generators of the group modulo torsion |
j |
-341370886042369/1817528220 |
j-invariant |
L |
10.007596941312 |
L(r)(E,1)/r! |
Ω |
0.05116841480766 |
Real period |
R |
48.895382918009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830d1 1710i1 |
Quadratic twists by: -3 -19 |