Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248d |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3139625567232 = 210 · 39 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6075,-161082] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2268:1] |
Generators of the group modulo torsion |
j |
1230187500/155771 |
j-invariant |
L |
6.1440065070162 |
L(r)(E,1)/r! |
Ω |
0.54527332199318 |
Real period |
R |
2.816938891075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94248n1 |
Quadratic twists by: -3 |