Atkin-Lehner |
5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29575c |
Isogeny class |
Conductor |
29575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
240209166640625 = 57 · 72 · 137 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-281755,57630122] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2695:1] |
Generators of the group modulo torsion |
j |
32798729601/3185 |
j-invariant |
L |
2.9715449032552 |
L(r)(E,1)/r! |
Ω |
0.53254508660336 |
Real period |
R |
2.7899467838564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5915a1 2275c1 |
Quadratic twists by: 5 13 |