Atkin-Lehner |
5+ 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120785b |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-4313821176875 = -1 · 54 · 77 · 172 · 29 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5896,202852] |
[a1,a2,a3,a4,a6] |
Generators |
[56:212:1] [-44:612:1] |
Generators of the group modulo torsion |
j |
-192699928576/36666875 |
j-invariant |
L |
4.3070677067517 |
L(r)(E,1)/r! |
Ω |
0.74618013983582 |
Real period |
R |
0.36075971125182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999956527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17255e1 |
Quadratic twists by: -7 |