Atkin-Lehner |
2+ 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94962p |
Isogeny class |
Conductor |
94962 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-12553216704 = -1 · 26 · 36 · 72 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1489,22628] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-37:1] [-29:218:1] |
Generators of the group modulo torsion |
j |
-7443760378201/256188096 |
j-invariant |
L |
9.2978805216174 |
L(r)(E,1)/r! |
Ω |
1.2576974628032 |
Real period |
R |
0.3080324957937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94962b1 |
Quadratic twists by: -7 |