Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5150d |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-2575000000 = -1 · 26 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 -6 -3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-617,6541] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:68:1] [-6:103:1] |
Generators of the group modulo torsion |
j |
-66560265/6592 |
j-invariant |
L |
3.3937140968918 |
L(r)(E,1)/r! |
Ω |
1.4082257753183 |
Real period |
R |
0.40165364536128 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200br1 46350ck1 5150n1 |
Quadratic twists by: -4 -3 5 |