Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340k |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-3.7154434878943E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033745,4282003650] |
[a1,a2,a3,a4,a6] |
j |
-3856034557002072064/1973796785296875 |
j-invariant |
L |
2.346070474332 |
L(r)(E,1)/r! |
Ω |
0.13033724857403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ht1 97020bp1 4620h1 |
Quadratic twists by: -4 -3 -7 |