Atkin-Lehner |
2- 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88740h |
Isogeny class |
Conductor |
88740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
76399320430800 = 24 · 318 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34788,-2461763] |
[a1,a2,a3,a4,a6] |
j |
399176150204416/6550010325 |
j-invariant |
L |
0.69984900529417 |
L(r)(E,1)/r! |
Ω |
0.34992444040998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29580c1 |
Quadratic twists by: -3 |