Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480p |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
7823658500000000000 = 211 · 512 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-533267,-65999374] |
[a1,a2,a3,a4,a6] |
Generators |
[917:14700:1] |
Generators of the group modulo torsion |
j |
69604873310898/32470703125 |
j-invariant |
L |
7.3428588861025 |
L(r)(E,1)/r! |
Ω |
0.18481425076163 |
Real period |
R |
0.82772960504314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37240l4 10640b3 |
Quadratic twists by: -4 -7 |