Atkin-Lehner |
3+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275d |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3.2982800854834E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,521020,235232022] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:7770:1] |
Generators of the group modulo torsion |
j |
37076940247750677/78181453878125 |
j-invariant |
L |
4.180593640353 |
L(r)(E,1)/r! |
Ω |
0.14375465359311 |
Real period |
R |
2.4234540909545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67275c1 13455b1 |
Quadratic twists by: -3 5 |