Atkin-Lehner |
3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
29325h |
Isogeny class |
Conductor |
29325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
85248 |
Modular degree for the optimal curve |
Δ |
286376953125 = 3 · 512 · 17 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 5 6 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2158,-28032] |
[a1,a2,a3,a4,a6] |
j |
71163817984/18328125 |
j-invariant |
L |
1.4275433334225 |
L(r)(E,1)/r! |
Ω |
0.71377166671185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975bc1 5865e1 |
Quadratic twists by: -3 5 |