Atkin-Lehner |
3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275p |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-466910229825 = -1 · 37 · 52 · 135 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -5 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1930,3422] |
[a1,a2,a3,a4,a6] |
Generators |
[0:58:1] |
Generators of the group modulo torsion |
j |
43645456895/25619217 |
j-invariant |
L |
4.2869895487324 |
L(r)(E,1)/r! |
Ω |
0.56766686780776 |
Real period |
R |
0.37759730139897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22425q1 67275bc1 |
Quadratic twists by: -3 5 |