Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248t |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
100124277604352 = 236 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 4 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12865,-293601] |
[a1,a2,a3,a4,a6] |
Generators |
[1005:31668:1] |
Generators of the group modulo torsion |
j |
898352786449/381943808 |
j-invariant |
L |
2.9234795222481 |
L(r)(E,1)/r! |
Ω |
0.46572473769242 |
Real period |
R |
6.2772691650108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999553571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93248y1 2914h1 |
Quadratic twists by: -4 8 |