Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bq |
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 |
[59:484:1] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
3.9128062373164 |
L(r)(E,1)/r! |
Ω |
0.7238653678113 |
Real period |
R |
1.3513584202679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672bg1 50336s1 832b1 |
Quadratic twists by: -4 8 -11 |