Atkin-Lehner |
2+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77248j |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-6.6533973798639E+24 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20466476,129117955120] |
[a1,a2,a3,a4,a6] |
Generators |
[1844227:143287815:343] |
Generators of the group modulo torsion |
j |
-3616704293889173525793/25380696792083390344 |
j-invariant |
L |
4.2975021625194 |
L(r)(E,1)/r! |
Ω |
0.064481366415259 |
Real period |
R |
11.107865730165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002536 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77248u3 2414f4 |
Quadratic twists by: -4 8 |