Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440dg |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
922484948336640 = 219 · 32 · 5 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48360,3807540] |
[a1,a2,a3,a4,a6] |
Generators |
[-252:234:1] |
Generators of the group modulo torsion |
j |
3053736929566441/225216051840 |
j-invariant |
L |
10.771969844581 |
L(r)(E,1)/r! |
Ω |
0.48682962946761 |
Real period |
R |
2.7658469110399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430l2 |
Quadratic twists by: -4 |