Atkin-Lehner |
2+ 3- 43+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
15738d |
Isogeny class |
Conductor |
15738 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-4423762944 = -1 · 210 · 33 · 43 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -3 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-274,3620] |
[a1,a2,a3,a4,a6] |
Generators |
[13:41:1] [22:80:1] |
Generators of the group modulo torsion |
j |
-2263054145689/4423762944 |
j-invariant |
L |
5.4426411717271 |
L(r)(E,1)/r! |
Ω |
1.2293499305843 |
Real period |
R |
0.36893761466402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125904f1 47214i1 |
Quadratic twists by: -4 -3 |