Atkin-Lehner |
2- 5- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30820d |
Isogeny class |
Conductor |
30820 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3039591680 = -1 · 28 · 5 · 232 · 672 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-487,-4914] |
[a1,a2,a3,a4,a6] |
j |
-49896562896/11873405 |
j-invariant |
L |
0.50182599097623 |
L(r)(E,1)/r! |
Ω |
0.50182599097709 |
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 |
123280j2 |
Quadratic twists by: -4 |