Atkin-Lehner |
2- 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
93840bt |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
172339200 |
Modular degree for the optimal curve |
Δ |
-8.1693896462687E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1768447640,134503194079600] |
[a1,a2,a3,a4,a6] |
Generators |
[4685310:4354998250:343] |
Generators of the group modulo torsion |
j |
149327701830509856553358737559/1994479894108569600000000000 |
j-invariant |
L |
7.188641973654 |
L(r)(E,1)/r! |
Ω |
0.017256881138495 |
Real period |
R |
9.467424926126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11730f1 |
Quadratic twists by: -4 |