Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dr |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4408606720 = 217 · 5 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5932,175824] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:372:1] |
Generators of the group modulo torsion |
j |
176123461698/33635 |
j-invariant |
L |
6.5153670377194 |
L(r)(E,1)/r! |
Ω |
1.3394989726243 |
Real period |
R |
2.4320164371158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440x2 17360c2 |
Quadratic twists by: -4 8 |