Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bi |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
85413197520 = 24 · 312 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1182,-6851] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:63:1] [-6:5:1] |
Generators of the group modulo torsion |
j |
15657723904/7322805 |
j-invariant |
L |
11.679071435204 |
L(r)(E,1)/r! |
Ω |
0.85194637238955 |
Real period |
R |
3.4271732977651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440k1 |
Quadratic twists by: -3 |