Atkin-Lehner |
2+ 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440h |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7107409920 = -1 · 211 · 3 · 5 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,480,-480] |
[a1,a2,a3,a4,a6] |
Generators |
[2:22:1] [26:170:1] |
Generators of the group modulo torsion |
j |
5959535038/3470415 |
j-invariant |
L |
10.460995677501 |
L(r)(E,1)/r! |
Ω |
0.78376082670808 |
Real period |
R |
6.6735892641546 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720w2 |
Quadratic twists by: -4 |