Atkin-Lehner |
2+ 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394t |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
32440320 |
Modular degree for the optimal curve |
Δ |
-3.9371281620193E+26 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42416025,-960564654212] |
[a1,a2,a3,a4,a6] |
Generators |
[3309202332109:2787621622836990:4657463] |
Generators of the group modulo torsion |
j |
-57009414456430203097/2659576801689796608 |
j-invariant |
L |
7.4746890926221 |
L(r)(E,1)/r! |
Ω |
0.02337611750994 |
Real period |
R |
19.984844349144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278h1 |
Quadratic twists by: -23 |