Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490bh |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
30724320 = 25 · 3 · 5 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 11- -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-278,1736] |
[a1,a2,a3,a4,a6] |
Generators |
[2:33:1] |
Generators of the group modulo torsion |
j |
19535526241/253920 |
j-invariant |
L |
4.3640678825416 |
L(r)(E,1)/r! |
Ω |
2.0943114544572 |
Real period |
R |
1.041886073749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83490cs1 |
Quadratic twists by: -11 |