Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360k |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
3767120 = 24 · 5 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71,-236] |
[a1,a2,a3,a4,a6] |
Generators |
[12:28:1] |
Generators of the group modulo torsion |
j |
2508888064/235445 |
j-invariant |
L |
3.0859865131481 |
L(r)(E,1)/r! |
Ω |
1.6526526399423 |
Real period |
R |
1.8672928833102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680d1 69440dy1 86800k1 121520r1 |
Quadratic twists by: -4 8 5 -7 |