Atkin-Lehner |
3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49011g |
Isogeny class |
Conductor |
49011 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580320 |
Modular degree for the optimal curve |
Δ |
-739456529461347 = -1 · 3 · 172 · 318 |
Discriminant |
Eigenvalues |
2 3- 2 -4 -6 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-69512,7151219] |
[a1,a2,a3,a4,a6] |
j |
-43552768/867 |
j-invariant |
L |
4.0529754216415 |
L(r)(E,1)/r! |
Ω |
0.50662192770552 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49011d1 |
Quadratic twists by: -31 |