Atkin-Lehner |
3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55419h |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
937681000893 = 36 · 76 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2598,-20889] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:96:1] [-30:189:1] |
Generators of the group modulo torsion |
j |
16484028625/7970157 |
j-invariant |
L |
7.4540567599829 |
L(r)(E,1)/r! |
Ω |
0.70185616560825 |
Real period |
R |
1.7700817549318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1131a2 |
Quadratic twists by: -7 |