Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575bg |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-7417575 = -1 · 36 · 52 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11- 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,132] |
[a1,a2,a3,a4,a6] |
Generators |
[0:11:1] |
Generators of the group modulo torsion |
j |
-625/407 |
j-invariant |
L |
3.9720715264339 |
L(r)(E,1)/r! |
Ω |
1.9012392814307 |
Real period |
R |
2.0892012722799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10175a1 91575cc1 |
Quadratic twists by: -3 5 |