Atkin-Lehner |
2+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
94600j |
Isogeny class |
Conductor |
94600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
1831456000 = 28 · 53 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 11- 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-940,10900] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:110:1] [14:22:1] |
Generators of the group modulo torsion |
j |
2870498304/57233 |
j-invariant |
L |
6.3538910328179 |
L(r)(E,1)/r! |
Ω |
1.4849192558205 |
Real period |
R |
0.17828946497653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94600x1 |
Quadratic twists by: 5 |