Atkin-Lehner |
2- 5+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11470c |
Isogeny class |
Conductor |
11470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-2867500 = -1 · 22 · 54 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 0 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-583,-5269] |
[a1,a2,a3,a4,a6] |
j |
-21879168694209/2867500 |
j-invariant |
L |
1.9434224267183 |
L(r)(E,1)/r! |
Ω |
0.48585560667957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91760e1 103230o1 57350c1 |
Quadratic twists by: -4 -3 5 |