Atkin-Lehner |
2- 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6150z |
Isogeny class |
Conductor |
6150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4000 |
Modular degree for the optimal curve |
Δ |
-7687500000 = -1 · 25 · 3 · 59 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,487,1031] |
[a1,a2,a3,a4,a6] |
Generators |
[35:232:1] |
Generators of the group modulo torsion |
j |
6539203/3936 |
j-invariant |
L |
5.2625831862772 |
L(r)(E,1)/r! |
Ω |
0.80777340015106 |
Real period |
R |
0.6514925083313 |
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 |
49200ds1 18450z1 6150r1 |
Quadratic twists by: -4 -3 5 |