Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590bd |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-1538346051562500000 = -1 · 25 · 37 · 511 · 233 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 5 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,241641,38289213] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:2649:1] |
Generators of the group modulo torsion |
j |
2140459652555428751/2110214062500000 |
j-invariant |
L |
5.2619635420266 |
L(r)(E,1)/r! |
Ω |
0.17629798110333 |
Real period |
R |
0.22611353758248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bh1 |
Quadratic twists by: -3 |