Atkin-Lehner |
2- 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624r |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
115800090476544 = 217 · 38 · 17 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48824,4136304] |
[a1,a2,a3,a4,a6] |
Generators |
[461:8910:1] |
Generators of the group modulo torsion |
j |
3142481503125817/28271506464 |
j-invariant |
L |
4.6441412573272 |
L(r)(E,1)/r! |
Ω |
0.59388320544382 |
Real period |
R |
3.9099786073093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078d2 |
Quadratic twists by: -4 |