Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960y |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3052938838671360 = 224 · 39 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47186307,124759060866] |
[a1,a2,a3,a4,a6] |
Generators |
[25111256015:-15538978:6331625] |
Generators of the group modulo torsion |
j |
144118734029937784467/37867520 |
j-invariant |
L |
7.0550875279243 |
L(r)(E,1)/r! |
Ω |
0.26556918281502 |
Real period |
R |
13.282955976181 |
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 |
3870d4 123840dv4 30960s2 |
Quadratic twists by: -4 8 -3 |