Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414f |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7600292901306 = -1 · 2 · 33 · 73 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48606,4138918] |
[a1,a2,a3,a4,a6] |
Generators |
[149:359:1] |
Generators of the group modulo torsion |
j |
-19486825371/11662 |
j-invariant |
L |
2.8472041190588 |
L(r)(E,1)/r! |
Ω |
0.73325993926682 |
Real period |
R |
0.97073492174757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414bu2 2142b1 |
Quadratic twists by: -3 17 |