Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bg |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-754656641024 = -1 · 215 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 1 -1 3 11- 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-41857] |
[a1,a2,a3,a4,a6] |
Generators |
[1514:58927:1] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
8.0330441834176 |
L(r)(E,1)/r! |
Ω |
0.40660265386932 |
Real period |
R |
4.9391243025099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999833856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672bq1 50336d1 832a1 |
Quadratic twists by: -4 8 -11 |