Atkin-Lehner |
3+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118581c |
Isogeny class |
Conductor |
118581 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
299376 |
Modular degree for the optimal curve |
Δ |
83870088261 = 3 · 296 · 47 |
Discriminant |
Eigenvalues |
-2 3+ -1 -3 -1 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22146,-1261072] |
[a1,a2,a3,a4,a6] |
j |
2019487744/141 |
j-invariant |
L |
0.39136094885315 |
L(r)(E,1)/r! |
Ω |
0.39135953199203 |
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 |
141e1 |
Quadratic twists by: 29 |