Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200x |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-7045120000000 = -1 · 221 · 57 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 6 -5 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1592,-124812] |
[a1,a2,a3,a4,a6] |
Generators |
[68:550:1] |
Generators of the group modulo torsion |
j |
6967871/110080 |
j-invariant |
L |
3.432951205995 |
L(r)(E,1)/r! |
Ω |
0.36449789577537 |
Real period |
R |
2.3545754624264 |
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 |
2150a1 68800cw1 3440b1 |
Quadratic twists by: -4 8 5 |