Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600be |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
11750400 |
Modular degree for the optimal curve |
Δ |
-2.871560628747E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 1 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26715208,53760683588] |
[a1,a2,a3,a4,a6] |
Generators |
[3782:82668:1] |
Generators of the group modulo torsion |
j |
-210862527562533700/2871560628747 |
j-invariant |
L |
10.6719357877 |
L(r)(E,1)/r! |
Ω |
0.11842533317582 |
Real period |
R |
0.75096092965936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800u1 99600m1 |
Quadratic twists by: -4 5 |