Atkin-Lehner |
2- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102544h |
Isogeny class |
Conductor |
102544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-210010112 = -1 · 215 · 13 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 1 2 -4 6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312,2132] |
[a1,a2,a3,a4,a6] |
Generators |
[22:80:1] |
Generators of the group modulo torsion |
j |
-822656953/51272 |
j-invariant |
L |
8.5962510286104 |
L(r)(E,1)/r! |
Ω |
1.7519245697225 |
Real period |
R |
1.2266868095091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12818a1 |
Quadratic twists by: -4 |