Atkin-Lehner |
2- 3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528t |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
1.8422257047654E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1587629,-407401119] |
[a1,a2,a3,a4,a6] |
Generators |
[-7447898885:57127919094:6967871] |
Generators of the group modulo torsion |
j |
1728745609175292977152/719619415923990141 |
j-invariant |
L |
8.917777240319 |
L(r)(E,1)/r! |
Ω |
0.13954871360043 |
Real period |
R |
15.976100753651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27132d1 |
Quadratic twists by: -4 |