Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904ci |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17763456319488 = -1 · 216 · 32 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3873,-224289] |
[a1,a2,a3,a4,a6] |
Generators |
[139353675:-4510494856:132651] |
Generators of the group modulo torsion |
j |
-98061470500/271048833 |
j-invariant |
L |
7.9532870780938 |
L(r)(E,1)/r! |
Ω |
0.28067650756346 |
Real period |
R |
14.168066909368 |
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 |
35904m2 8976d2 107712ey2 |
Quadratic twists by: -4 8 -3 |