Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
6150bh |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-22954752000 = -1 · 211 · 37 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -4 2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2068,36752] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-76:1] |
Generators of the group modulo torsion |
j |
-7824893363477/183638016 |
j-invariant |
L |
6.6138661178683 |
L(r)(E,1)/r! |
Ω |
1.2013788318256 |
Real period |
R |
0.035748243140174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49200cn1 18450v1 6150k1 |
Quadratic twists by: -4 -3 5 |