Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520dc |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
79421063837696000 = 214 · 53 · 79 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-717098160,-7391457277100] |
[a1,a2,a3,a4,a6] |
Generators |
[1459596:285520942:27] |
Generators of the group modulo torsion |
j |
84627468364197487202209/164811500 |
j-invariant |
L |
3.7486578507289 |
L(r)(E,1)/r! |
Ω |
0.029174599479479 |
Real period |
R |
10.707538841462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999077046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190be4 17360s4 |
Quadratic twists by: -4 -7 |