Atkin-Lehner |
2- 7+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29036b |
Isogeny class |
Conductor |
29036 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
68880 |
Modular degree for the optimal curve |
Δ |
25729781713664 = 28 · 7 · 17 · 615 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 2 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7532,-58744] |
[a1,a2,a3,a4,a6] |
Generators |
[-2555355:12040228:35937] |
Generators of the group modulo torsion |
j |
184617276322768/100506959819 |
j-invariant |
L |
6.391456599123 |
L(r)(E,1)/r! |
Ω |
0.5468283579789 |
Real period |
R |
11.688231793146 |
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 |
116144u1 |
Quadratic twists by: -4 |