Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
24402l |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
476243031527424 = 212 · 35 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27907,-1457410] |
[a1,a2,a3,a4,a6] |
Generators |
[319:4544:1] [-682:4747:8] |
Generators of the group modulo torsion |
j |
20429256361753/4047998976 |
j-invariant |
L |
6.0349537888886 |
L(r)(E,1)/r! |
Ω |
0.3744919957996 |
Real period |
R |
1.6115040792807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206bi1 3486d1 |
Quadratic twists by: -3 -7 |