Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150bc |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
4.37533249536E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17248167,27574111741] |
[a1,a2,a3,a4,a6] |
Generators |
[2009:31058:1] |
Generators of the group modulo torsion |
j |
49820148452546463529/3841169817600 |
j-invariant |
L |
2.7552674001739 |
L(r)(E,1)/r! |
Ω |
0.19310759816246 |
Real period |
R |
3.5670106023689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050y1 6030x1 |
Quadratic twists by: -3 5 |