Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800bp |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2236612608000000 = -1 · 226 · 33 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32192,474112] |
[a1,a2,a3,a4,a6] |
Generators |
[1122:38050:1] |
Generators of the group modulo torsion |
j |
57646656647/34947072 |
j-invariant |
L |
5.4470431485224 |
L(r)(E,1)/r! |
Ω |
0.28377517403175 |
Real period |
R |
4.7987312317206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999758952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850bb1 3792f1 |
Quadratic twists by: -4 5 |