Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400cc |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-61227643750000 = -1 · 24 · 58 · 73 · 134 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213208,37965537] |
[a1,a2,a3,a4,a6] |
j |
-499990900480/28561 |
j-invariant |
L |
4.7179533905437 |
L(r)(E,1)/r! |
Ω |
0.58974429520147 |
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 |
127400o1 127400ci1 |
Quadratic twists by: 5 -7 |