Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
100100c |
Isogeny class |
Conductor |
100100 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1080576 |
Modular degree for the optimal curve |
Δ |
116670476207084800 = 28 · 52 · 74 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11+ 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-675773,212962943] |
[a1,a2,a3,a4,a6] |
Generators |
[809:14014:1] |
Generators of the group modulo torsion |
j |
5332696758762987520/18229761907357 |
j-invariant |
L |
6.5411730465964 |
L(r)(E,1)/r! |
Ω |
0.33355636459968 |
Real period |
R |
0.23345711798674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100100l1 |
Quadratic twists by: 5 |