Atkin-Lehner |
3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
78897o |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
225216 |
Modular degree for the optimal curve |
Δ |
-5713145344179 = -1 · 32 · 7 · 13 · 178 |
Discriminant |
Eigenvalues |
2 3- 2 7- 2 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1638,-111589] |
[a1,a2,a3,a4,a6] |
Generators |
[46697428287814608:465235259061814831:498903676899328] |
Generators of the group modulo torsion |
j |
69632/819 |
j-invariant |
L |
20.060645419754 |
L(r)(E,1)/r! |
Ω |
0.37333516134238 |
Real period |
R |
26.866804277988 |
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 |
78897c1 |
Quadratic twists by: 17 |