Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124722x |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-25990546304286954 = -1 · 2 · 36 · 139 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 0 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104220,-15069326] |
[a1,a2,a3,a4,a6] |
Generators |
[1069698:4547593:2744] |
Generators of the group modulo torsion |
j |
-16194277/3362 |
j-invariant |
L |
5.1446921900623 |
L(r)(E,1)/r! |
Ω |
0.13139190991747 |
Real period |
R |
9.7888297655013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068182 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858o1 124722bz1 |
Quadratic twists by: -3 13 |