Atkin-Lehner |
2- 3- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
125460x |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
127028250000 = 24 · 36 · 56 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1662237,824873841] |
[a1,a2,a3,a4,a6] |
j |
43546678647048969984/10890625 |
j-invariant |
L |
3.6842539265151 |
L(r)(E,1)/r! |
Ω |
0.61404223632261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13940b1 |
Quadratic twists by: -3 |