Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904m |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
18906759168 = 214 · 3 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5233,147313] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:528:1] [-9:440:1] |
Generators of the group modulo torsion |
j |
967473250000/1153977 |
j-invariant |
L |
6.9884168998296 |
L(r)(E,1)/r! |
Ω |
1.2184780982487 |
Real period |
R |
0.9558942024856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904ci1 4488d1 107712bi1 |
Quadratic twists by: -4 8 -3 |