Atkin-Lehner |
2- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328l |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-9232923392 = -1 · 28 · 73 · 113 · 79 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11+ 2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-253,4961] |
[a1,a2,a3,a4,a6] |
j |
-7023616000/36066107 |
j-invariant |
L |
2.249113431213 |
L(r)(E,1)/r! |
Ω |
1.1245566846856 |
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 |
24332d1 |
Quadratic twists by: -4 |