Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672dk |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
71360076316672 = 228 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 1 0 2 11- 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77953,8341375] |
[a1,a2,a3,a4,a6] |
j |
1651590939625/2249728 |
j-invariant |
L |
3.685157524648 |
L(r)(E,1)/r! |
Ω |
0.61419294665379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672bm1 25168x1 100672cl1 |
Quadratic twists by: -4 8 -11 |