Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175r |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9805824 |
Modular degree for the optimal curve |
Δ |
-6.2108320092993E+23 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 11- 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-88013325,-320066205719] |
[a1,a2,a3,a4,a6] |
Generators |
[5287780:1509653443:64] |
Generators of the group modulo torsion |
j |
-6619442934477749579776/54525822852558915 |
j-invariant |
L |
9.5694074682288 |
L(r)(E,1)/r! |
Ω |
0.024633091476638 |
Real period |
R |
6.9371023275919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10725d1 6435m1 |
Quadratic twists by: -3 5 |