Atkin-Lehner |
2+ 7- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121618f |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
12870144 |
Modular degree for the optimal curve |
Δ |
-1.4968210845761E+23 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- -5 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7840642,-20443134764] |
[a1,a2,a3,a4,a6] |
Generators |
[12557:1357945:1] |
Generators of the group modulo torsion |
j |
-1087883591500678162492393/3054736907298194849792 |
j-invariant |
L |
2.5456142886091 |
L(r)(E,1)/r! |
Ω |
0.041816860242874 |
Real period |
R |
2.1741181735514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121618b1 |
Quadratic twists by: -7 |