Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5100q |
Isogeny class |
Conductor |
5100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1248480000 = -1 · 28 · 33 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2533,48263] |
[a1,a2,a3,a4,a6] |
Generators |
[17:102:1] |
Generators of the group modulo torsion |
j |
-11237785600/7803 |
j-invariant |
L |
4.5672704299797 |
L(r)(E,1)/r! |
Ω |
1.5187254228988 |
Real period |
R |
0.16707249532023 |
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 |
20400co1 81600by1 15300bb1 5100c1 |
Quadratic twists by: -4 8 -3 5 |