Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7942a |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57456 |
Modular degree for the optimal curve |
Δ |
3060845665501184 = 214 · 11 · 198 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 11+ 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120461,-15840539] |
[a1,a2,a3,a4,a6] |
Generators |
[1770:72011:1] |
Generators of the group modulo torsion |
j |
11382465033/180224 |
j-invariant |
L |
2.6469712088034 |
L(r)(E,1)/r! |
Ω |
0.2565101482923 |
Real period |
R |
5.1595837950768 |
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 |
63536bc1 71478cl1 87362w1 7942o1 |
Quadratic twists by: -4 -3 -11 -19 |