Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
94302cl |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
414117068538977856 = 26 · 39 · 139 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-292064,-52198077] |
[a1,a2,a3,a4,a6] |
j |
356400829/53568 |
j-invariant |
L |
1.2446148733159 |
L(r)(E,1)/r! |
Ω |
0.20743582727039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31434f1 94302bg1 |
Quadratic twists by: -3 13 |