Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5100r |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-8262000 = -1 · 24 · 35 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,153] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:1] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
4.4554675214498 |
L(r)(E,1)/r! |
Ω |
2.1011238187523 |
Real period |
R |
0.070683880084953 |
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 |
20400cp1 81600ca1 15300bc1 5100i1 |
Quadratic twists by: -4 8 -3 5 |