Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368bi |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
523351205912832 = 28 · 3 · 119 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158308,-24271744] |
[a1,a2,a3,a4,a6] |
Generators |
[-31207206:-10411082:132651] |
Generators of the group modulo torsion |
j |
967473250000/1153977 |
j-invariant |
L |
8.727266368184 |
L(r)(E,1)/r! |
Ω |
0.23936172990688 |
Real period |
R |
9.115143815617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999536 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736o1 4488d1 |
Quadratic twists by: -4 -11 |