Atkin-Lehner |
3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575i |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-138264799921875 = -1 · 33 · 57 · 116 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28950,1978531] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:1933:1] [115:412:1] |
Generators of the group modulo torsion |
j |
-6360417533952/327738785 |
j-invariant |
L |
9.2357135015369 |
L(r)(E,1)/r! |
Ω |
0.57557680576936 |
Real period |
R |
0.66858391797303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575b2 18315d1 |
Quadratic twists by: -3 5 |