Atkin-Lehner |
3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118581d |
Isogeny class |
Conductor |
118581 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
280896 |
Modular degree for the optimal curve |
Δ |
-20380431447423 = -1 · 36 · 296 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 4 0 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6746,-304945] |
[a1,a2,a3,a4,a6] |
j |
-57066625/34263 |
j-invariant |
L |
6.9218045721906 |
L(r)(E,1)/r! |
Ω |
0.25636311144173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
141b1 |
Quadratic twists by: 29 |