Atkin-Lehner |
3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127581h |
Isogeny class |
Conductor |
127581 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
32928 |
Modular degree for the optimal curve |
Δ |
-93006549 = -1 · 37 · 23 · 432 |
Discriminant |
Eigenvalues |
-1 3- -1 -1 0 -6 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,69,414] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:15:1] [3:24:1] |
Generators of the group modulo torsion |
j |
19630919/50301 |
j-invariant |
L |
8.6120426656049 |
L(r)(E,1)/r! |
Ω |
1.3315336363274 |
Real period |
R |
0.92396600065697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127581d1 |
Quadratic twists by: -43 |