Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960y |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
35171352576000000 = 220 · 33 · 56 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111507,-11134894] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:150:1] |
Generators of the group modulo torsion |
j |
1386456968640843/318028000000 |
j-invariant |
L |
7.0550875279243 |
L(r)(E,1)/r! |
Ω |
0.26556918281502 |
Real period |
R |
2.2138259960301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870d1 123840dv1 30960s3 |
Quadratic twists by: -4 8 -3 |