Atkin-Lehner |
2+ 7- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
119462c |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-366516251137792 = -1 · 28 · 73 · 232 · 534 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,136,921152] |
[a1,a2,a3,a4,a6] |
Generators |
[976:30040:1] |
Generators of the group modulo torsion |
j |
801765089/1068560498944 |
j-invariant |
L |
8.7939086271007 |
L(r)(E,1)/r! |
Ω |
0.42583106634475 |
Real period |
R |
2.5813959016394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119462e2 |
Quadratic twists by: -7 |