Atkin-Lehner |
2+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
4150h |
Isogeny class |
Conductor |
4150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10200 |
Modular degree for the optimal curve |
Δ |
-33200000000 = -1 · 210 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 -4 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55075,-4997875] |
[a1,a2,a3,a4,a6] |
Generators |
[310:2645:1] |
Generators of the group modulo torsion |
j |
-47297644854745/84992 |
j-invariant |
L |
2.0768001160151 |
L(r)(E,1)/r! |
Ω |
0.15582238918106 |
Real period |
R |
2.2213325985331 |
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 |
33200bh1 37350bt1 4150i1 |
Quadratic twists by: -4 -3 5 |