Atkin-Lehner |
2- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7912a |
Isogeny class |
Conductor |
7912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1071474688 = -1 · 211 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 4 -2 2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-491,-4474] |
[a1,a2,a3,a4,a6] |
Generators |
[9124:107531:64] |
Generators of the group modulo torsion |
j |
-6392021634/523181 |
j-invariant |
L |
3.9467302187677 |
L(r)(E,1)/r! |
Ω |
0.50474149228689 |
Real period |
R |
7.8193100410385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15824b1 63296a1 71208c1 |
Quadratic twists by: -4 8 -3 |