Atkin-Lehner |
2+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
99944b |
Isogeny class |
Conductor |
99944 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3837545695760132096 = -1 · 211 · 133 · 318 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 -4 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1115080,-462542932] |
[a1,a2,a3,a4,a6] |
Generators |
[75994:7358377:8] |
Generators of the group modulo torsion |
j |
-84361067282/2111317 |
j-invariant |
L |
3.2978646561765 |
L(r)(E,1)/r! |
Ω |
0.073350142680392 |
Real period |
R |
3.7467146744849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999536135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3224a1 |
Quadratic twists by: -31 |