Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35360g |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1202240000 = 29 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,-600] |
[a1,a2,a3,a4,a6] |
Generators |
[186:561:8] |
Generators of the group modulo torsion |
j |
4758586568/2348125 |
j-invariant |
L |
8.3645755873655 |
L(r)(E,1)/r! |
Ω |
1.2271769825411 |
Real period |
R |
3.4080559309569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35360h2 70720w2 |
Quadratic twists by: -4 8 |