Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136i |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608701440 |
Modular degree for the optimal curve |
Δ |
5.2579723460944E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -6 1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-775469854784,262842700513031136] |
[a1,a2,a3,a4,a6] |
Generators |
[1116997180:309772:2197] |
Generators of the group modulo torsion |
j |
73416622245758282538030976581862478/7485041718998289 |
j-invariant |
L |
5.5066710775174 |
L(r)(E,1)/r! |
Ω |
0.03540835115597 |
Real period |
R |
6.4799579968922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50568v1 101136v1 |
Quadratic twists by: -4 -7 |