Atkin-Lehner |
2+ 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414k |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
7001835057784 = 23 · 79 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -2 -6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-356158,81781144] |
[a1,a2,a3,a4,a6] |
Generators |
[284:1744:1] [344:-161:1] |
Generators of the group modulo torsion |
j |
42468002165719369/59514616 |
j-invariant |
L |
9.7244441557835 |
L(r)(E,1)/r! |
Ω |
0.63406943580381 |
Real period |
R |
1.9170700412052 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13202c1 |
Quadratic twists by: -7 |