Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
850d |
Isogeny class |
Conductor |
850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-2564616706250000 = -1 · 24 · 58 · 177 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 4 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33924,-387702] |
[a1,a2,a3,a4,a6] |
Generators |
[21:567:1] |
Generators of the group modulo torsion |
j |
11053587253415/6565418768 |
j-invariant |
L |
1.8987366857377 |
L(r)(E,1)/r! |
Ω |
0.26693834391184 |
Real period |
R |
0.5080725645996 |
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 |
6800y1 27200bm1 7650cm1 850f1 |
Quadratic twists by: -4 8 -3 5 |