Atkin-Lehner |
2+ 3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118482a |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
749952 |
Modular degree for the optimal curve |
Δ |
-4824555131375616 = -1 · 212 · 3 · 78 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 1 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59217,6450837] |
[a1,a2,a3,a4,a6] |
j |
-3983731471321/836898816 |
j-invariant |
L |
0.82911592411465 |
L(r)(E,1)/r! |
Ω |
0.41455819549928 |
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 |
118482bn1 |
Quadratic twists by: -7 |