Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
5150g |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-843776000 = -1 · 216 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -2 -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38110,-2879500] |
[a1,a2,a3,a4,a6] |
Generators |
[940:27690:1] |
Generators of the group modulo torsion |
j |
-48972057559772381/6750208 |
j-invariant |
L |
2.3113675868767 |
L(r)(E,1)/r! |
Ω |
0.17084738443372 |
Real period |
R |
3.3822109635125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200bm1 46350co1 5150q1 |
Quadratic twists by: -4 -3 5 |