Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550x |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-37388668373437500 = -1 · 22 · 38 · 58 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,77349,4247698] |
[a1,a2,a3,a4,a6] |
Generators |
[437:-11244:1] |
Generators of the group modulo torsion |
j |
3275486903156831/2392874775900 |
j-invariant |
L |
5.2560162885989 |
L(r)(E,1)/r! |
Ω |
0.23257251307976 |
Real period |
R |
0.23541117971291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650ds1 6510l1 |
Quadratic twists by: -3 5 |