Atkin-Lehner |
2+ 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
101016f |
Isogeny class |
Conductor |
101016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-11271072417645312 = -1 · 28 · 322 · 23 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 1 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51396,-2444812] |
[a1,a2,a3,a4,a6] |
Generators |
[7036:590490:1] |
Generators of the group modulo torsion |
j |
80453358783488/60394549563 |
j-invariant |
L |
9.7064162986064 |
L(r)(E,1)/r! |
Ω |
0.22572858828079 |
Real period |
R |
2.6875240858389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33672g1 |
Quadratic twists by: -3 |