Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150bq |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.515499041024E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7109480,-4259152853] |
[a1,a2,a3,a4,a6] |
j |
129218842611488547/49277009920000 |
j-invariant |
L |
3.4371149562135 |
L(r)(E,1)/r! |
Ω |
0.095475415450357 |
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 |
30150d1 6030b3 |
Quadratic twists by: -3 5 |