Atkin-Lehner |
2+ 3- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
125424h |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-2053975532544 = -1 · 210 · 311 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 2 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1803,74986] |
[a1,a2,a3,a4,a6] |
Generators |
[35:234:1] |
Generators of the group modulo torsion |
j |
-868327204/2751489 |
j-invariant |
L |
6.4787991121499 |
L(r)(E,1)/r! |
Ω |
0.72632809427556 |
Real period |
R |
1.114991829995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62712i1 41808f1 |
Quadratic twists by: -4 -3 |