Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780bj |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
972 |
Product of Tamagawa factors cp |
deg |
10450944 |
Modular degree for the optimal curve |
Δ |
-3.0797345923559E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1287050,8461604073] |
[a1,a2,a3,a4,a6] |
Generators |
[-2234:13875:1] |
Generators of the group modulo torsion |
j |
-2556265764134656/333894287109375 |
j-invariant |
L |
10.371824870145 |
L(r)(E,1)/r! |
Ω |
0.096179396408995 |
Real period |
R |
0.99850299664222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931986 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
108780k1 |
Quadratic twists by: -7 |