Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664bu |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-8579636556490944 = -1 · 26 · 37 · 711 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -4 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42719,-5618697] |
[a1,a2,a3,a4,a6] |
Generators |
[32030:71271:125] |
Generators of the group modulo torsion |
j |
-134715366791699968/134056821195171 |
j-invariant |
L |
8.5132325135412 |
L(r)(E,1)/r! |
Ω |
0.15962329644692 |
Real period |
R |
7.6190387019558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41664v1 20832z1 124992ci1 |
Quadratic twists by: -4 8 -3 |