Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38115q |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
33960465 = 36 · 5 · 7 · 113 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,-280] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
132651/35 |
j-invariant |
L |
6.6374768595221 |
L(r)(E,1)/r! |
Ω |
1.520021980878 |
Real period |
R |
2.1833489722587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235f1 38115i1 |
Quadratic twists by: -3 -11 |