Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
111925o |
Isogeny class |
Conductor |
111925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-947369925390625 = -1 · 58 · 116 · 372 |
Discriminant |
Eigenvalues |
1 2 5+ -2 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4475,1478250] |
[a1,a2,a3,a4,a6] |
Generators |
[-10254:237931:216] |
Generators of the group modulo torsion |
j |
357911/34225 |
j-invariant |
L |
9.705032678199 |
L(r)(E,1)/r! |
Ω |
0.38011341182829 |
Real period |
R |
6.3829848855767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22385c2 925c2 |
Quadratic twists by: 5 -11 |