Atkin-Lehner |
5+ 31+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
51925a |
Isogeny class |
Conductor |
51925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
924672 |
Modular degree for the optimal curve |
Δ |
7.3391429595708E+19 |
Discriminant |
Eigenvalues |
0 1 5+ 0 -4 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1047033,12412969] |
[a1,a2,a3,a4,a6] |
Generators |
[646849:156876858:79507] |
Generators of the group modulo torsion |
j |
8124286128496574464/4697051494125325 |
j-invariant |
L |
4.7590154777367 |
L(r)(E,1)/r! |
Ω |
0.16461931149492 |
Real period |
R |
14.454608740926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10385a1 |
Quadratic twists by: 5 |