Atkin-Lehner |
2- 3+ 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980h |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
672768 |
Modular degree for the optimal curve |
Δ |
977137931250000 = 24 · 39 · 58 · 132 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77112,-8103591] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:325:1] |
Generators of the group modulo torsion |
j |
161019449966592/3102734375 |
j-invariant |
L |
4.6962408349495 |
L(r)(E,1)/r! |
Ω |
0.28683187745097 |
Real period |
R |
0.6821999778836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109980d1 |
Quadratic twists by: -3 |