Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600co |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-41033867300000000 = -1 · 28 · 58 · 177 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,84292,2530088] |
[a1,a2,a3,a4,a6] |
Generators |
[76074120493:4932022711748:18191447] |
Generators of the group modulo torsion |
j |
27440/17 |
j-invariant |
L |
7.4753194044865 |
L(r)(E,1)/r! |
Ω |
0.22403777177303 |
Real period |
R |
16.683167631348 |
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 |
28900i1 115600bm1 6800v1 |
Quadratic twists by: -4 5 17 |