Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520bf |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-319040959680 = -1 · 26 · 39 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4575,-123705] |
[a1,a2,a3,a4,a6] |
Generators |
[78:9:1] |
Generators of the group modulo torsion |
j |
-165505319755264/4985014995 |
j-invariant |
L |
7.9750043423063 |
L(r)(E,1)/r! |
Ω |
0.28973006716892 |
Real period |
R |
3.0584039904735 |
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 |
35520o1 17760t1 106560bj1 |
Quadratic twists by: -4 8 -3 |