Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
61920k |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11646037440000 = 29 · 39 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180387,-29488266] |
[a1,a2,a3,a4,a6] |
Generators |
[4398:290250:1] |
Generators of the group modulo torsion |
j |
64413688156056/1155625 |
j-invariant |
L |
6.1254375818512 |
L(r)(E,1)/r! |
Ω |
0.23165875244256 |
Real period |
R |
3.3052051331472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920bl2 123840d2 61920bi2 |
Quadratic twists by: -4 8 -3 |