Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200bu |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-824000000000 = -1 · 212 · 59 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- -2 2 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,792,-43088] |
[a1,a2,a3,a4,a6] |
Generators |
[28:16:1] [42:250:1] |
Generators of the group modulo torsion |
j |
6859/103 |
j-invariant |
L |
7.4039903661031 |
L(r)(E,1)/r! |
Ω |
0.43633790576028 |
Real period |
R |
2.1210598106306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2575a1 41200bl1 |
Quadratic twists by: -4 5 |