Atkin-Lehner |
3+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
127581d |
Isogeny class |
Conductor |
127581 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1415904 |
Modular degree for the optimal curve |
Δ |
-587928162163607901 = -1 · 37 · 23 · 438 |
Discriminant |
Eigenvalues |
1 3+ 1 1 0 -6 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,127543,-32405682] |
[a1,a2,a3,a4,a6] |
Generators |
[2462:46843:8] [226123310:16346294434:42875] |
Generators of the group modulo torsion |
j |
19630919/50301 |
j-invariant |
L |
13.180632614497 |
L(r)(E,1)/r! |
Ω |
0.14966889112959 |
Real period |
R |
29.355092903233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127581h1 |
Quadratic twists by: -43 |