Atkin-Lehner |
2- 3+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434bb |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
84699648 |
Modular degree for the optimal curve |
Δ |
2.3437371894746E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5907600326,174770626022677] |
[a1,a2,a3,a4,a6] |
Generators |
[5546855:-2774921:125] |
Generators of the group modulo torsion |
j |
491282812365679136529/504990784 |
j-invariant |
L |
7.8076966352793 |
L(r)(E,1)/r! |
Ω |
0.075653857322021 |
Real period |
R |
4.3001203875697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999652013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115434a1 115434b1 |
Quadratic twists by: -3 -11 |