Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970bf |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1088039334375000 = 23 · 39 · 58 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63128,5910787] |
[a1,a2,a3,a4,a6] |
Generators |
[295:3443:1] |
Generators of the group modulo torsion |
j |
1413487789441083/55278125000 |
j-invariant |
L |
6.5542497857651 |
L(r)(E,1)/r! |
Ω |
0.48625308884322 |
Real period |
R |
1.1232576094199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760bz2 11970i2 59850b2 83790dj2 |
Quadratic twists by: -4 -3 5 -7 |