Atkin-Lehner |
2+ 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78302b |
Isogeny class |
Conductor |
78302 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-74543504 = -1 · 24 · 73 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 5 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,94,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-38:1] |
Generators of the group modulo torsion |
j |
263374721/217328 |
j-invariant |
L |
5.1865575322379 |
L(r)(E,1)/r! |
Ω |
1.0731233423747 |
Real period |
R |
0.60414275398938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78302a1 |
Quadratic twists by: -7 |