Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10175c |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2297821044921875 = -1 · 516 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58755,-5932378] |
[a1,a2,a3,a4,a6] |
Generators |
[7670:225013:8] |
Generators of the group modulo torsion |
j |
-1435592723091129/147060546875 |
j-invariant |
L |
2.5579194105366 |
L(r)(E,1)/r! |
Ω |
0.15243951531081 |
Real period |
R |
8.3899486472429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575bc2 2035a2 111925f2 |
Quadratic twists by: -3 5 -11 |