Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ku |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
966 |
Product of Tamagawa factors cp |
deg |
7418880 |
Modular degree for the optimal curve |
Δ |
-1.0960498586419E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11013388,14941557392] |
[a1,a2,a3,a4,a6] |
Generators |
[2552:-60076:1] |
Generators of the group modulo torsion |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
13.836235353243 |
L(r)(E,1)/r! |
Ω |
0.12558094248585 |
Real period |
R |
0.11405572151091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550bm1 1950s1 |
Quadratic twists by: 5 -7 |