Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552s |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9390678757289984 = 212 · 76 · 117 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99744,11159476] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:4802:1] |
Generators of the group modulo torsion |
j |
15124197817/1294139 |
j-invariant |
L |
1.9925628115896 |
L(r)(E,1)/r! |
Ω |
0.39974598064303 |
Real period |
R |
2.4922862368552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
847c2 54208cf2 121968ed2 94864cs2 |
Quadratic twists by: -4 8 -3 -7 |