Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344gs |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2125507018752 = 214 · 310 · 133 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202332,35030320] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:2592:1] [221:1053:1] |
Generators of the group modulo torsion |
j |
34909201168/81 |
j-invariant |
L |
9.1257684040282 |
L(r)(E,1)/r! |
Ω |
0.71228562411441 |
Real period |
R |
3.2029877114262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344dp2 24336w2 32448do2 97344gq2 |
Quadratic twists by: -4 8 -3 13 |