Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925r |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-77115911926796875 = -1 · 57 · 117 · 373 |
Discriminant |
Eigenvalues |
-2 0 5+ 3 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-142175,24581906] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-2239:1] |
Generators of the group modulo torsion |
j |
-11481993216/2785915 |
j-invariant |
L |
2.9781083309518 |
L(r)(E,1)/r! |
Ω |
0.32769333967901 |
Real period |
R |
0.378670631543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000260646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22385l1 10175g1 |
Quadratic twists by: 5 -11 |