Atkin-Lehner |
2+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
80600h |
Isogeny class |
Conductor |
80600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-17707820000000 = -1 · 28 · 57 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 0 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5967,-99563] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-650:1] |
Generators of the group modulo torsion |
j |
5872987136/4426955 |
j-invariant |
L |
3.9013900511559 |
L(r)(E,1)/r! |
Ω |
0.3863847431312 |
Real period |
R |
0.31553636982753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16120d1 |
Quadratic twists by: 5 |