Atkin-Lehner |
2- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17980d |
Isogeny class |
Conductor |
17980 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4350061062400 = -1 · 28 · 52 · 294 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3724,-50440] |
[a1,a2,a3,a4,a6] |
Generators |
[6845:70122:125] |
Generators of the group modulo torsion |
j |
22304687251376/16992426025 |
j-invariant |
L |
6.1467808075382 |
L(r)(E,1)/r! |
Ω |
0.43378710191201 |
Real period |
R |
3.5425101279205 |
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 |
71920o2 89900f2 |
Quadratic twists by: -4 5 |