Atkin-Lehner |
3+ 5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39525a |
Isogeny class |
Conductor |
39525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270720 |
Modular degree for the optimal curve |
Δ |
-10676835755859375 = -1 · 39 · 59 · 172 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29300,-4569125] |
[a1,a2,a3,a4,a6] |
Generators |
[573850153980:11773781734885:1450571968] |
Generators of the group modulo torsion |
j |
1424207846251/5466539907 |
j-invariant |
L |
6.7824931936351 |
L(r)(E,1)/r! |
Ω |
0.20578181989319 |
Real period |
R |
16.479816334488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118575r1 39525h1 |
Quadratic twists by: -3 5 |