Atkin-Lehner |
2- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
10094g |
Isogeny class |
Conductor |
10094 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-1978424 = -1 · 23 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 1 3 7+ -3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99,377] |
[a1,a2,a3,a4,a6] |
Generators |
[62:45:8] |
Generators of the group modulo torsion |
j |
-44720977/824 |
j-invariant |
L |
8.6294932193661 |
L(r)(E,1)/r! |
Ω |
2.6263367983656 |
Real period |
R |
3.285752697345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80752j1 90846ba1 10094i1 |
Quadratic twists by: -4 -3 -7 |