Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bj |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
5625151488 = 216 · 33 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577,3743] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:96:1] |
Generators of the group modulo torsion |
j |
324730948/85833 |
j-invariant |
L |
7.6976894058341 |
L(r)(E,1)/r! |
Ω |
1.2639305183672 |
Real period |
R |
1.0150464884439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35904bo1 4488a1 107712bq1 |
Quadratic twists by: -4 8 -3 |