Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bf |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
877011494400000000 = 215 · 39 · 58 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-577458003,-5341075541998] |
[a1,a2,a3,a4,a6] |
Generators |
[124117981:26211913200:2197] |
Generators of the group modulo torsion |
j |
7131771986839837165458001/293709375000 |
j-invariant |
L |
6.1411615291878 |
L(r)(E,1)/r! |
Ω |
0.030797782921408 |
Real period |
R |
12.462669684815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5310d5 14160r5 |
Quadratic twists by: -4 -3 |