Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368ce |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-4162461696 = -1 · 213 · 36 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 0 -3 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261,-2646] |
[a1,a2,a3,a4,a6] |
Generators |
[55:422:1] |
Generators of the group modulo torsion |
j |
658503/1394 |
j-invariant |
L |
5.0174165883582 |
L(r)(E,1)/r! |
Ω |
0.72109049081561 |
Real period |
R |
3.4790478202737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12546r1 11152p1 |
Quadratic twists by: -4 -3 |