Atkin-Lehner |
2+ 3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40626h |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2782080 |
Modular degree for the optimal curve |
Δ |
-2.4323179868643E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 3 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4150638,3341182932] |
[a1,a2,a3,a4,a6] |
j |
-10847778683045823267553/333651301353127936 |
j-invariant |
L |
4.198968965472 |
L(r)(E,1)/r! |
Ω |
0.17495704023023 |
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 |
4514d1 |
Quadratic twists by: -3 |