Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554v |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-145869984 = -1 · 25 · 36 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,124,199] |
[a1,a2,a3,a4,a6] |
Generators |
[1:17:1] |
Generators of the group modulo torsion |
j |
1724463/1184 |
j-invariant |
L |
13.823309694379 |
L(r)(E,1)/r! |
Ω |
1.1568350690892 |
Real period |
R |
0.59746242415503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12506c1 112554k1 |
Quadratic twists by: -3 13 |