Atkin-Lehner |
2+ 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bd |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5567726535840000 = 28 · 38 · 54 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50727,-2539654] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:880:1] |
Generators of the group modulo torsion |
j |
77352393238864/29833925625 |
j-invariant |
L |
9.090253080351 |
L(r)(E,1)/r! |
Ω |
0.32868786785908 |
Real period |
R |
3.4570233530478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999257 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480o2 |
Quadratic twists by: -3 |