Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280ds |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
1.3417846169099E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68313132,-127158084144] |
[a1,a2,a3,a4,a6] |
j |
6832900384593441003/2600468480000000 |
j-invariant |
L |
0.75912033840043 |
L(r)(E,1)/r! |
Ω |
0.054222886269336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280n1 22320v1 89280df1 |
Quadratic twists by: -4 8 -3 |