Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850ch |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-51237309375000 = -1 · 23 · 39 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8737,-139983] |
[a1,a2,a3,a4,a6] |
Generators |
[16:55:1] |
Generators of the group modulo torsion |
j |
188819819375/131167512 |
j-invariant |
L |
9.2447142177651 |
L(r)(E,1)/r! |
Ω |
0.35748880093997 |
Real period |
R |
1.4366750314132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53550ck1 17850c1 124950gv1 |
Quadratic twists by: -3 5 -7 |