Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103880d |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
491904 |
Modular degree for the optimal curve |
Δ |
343298511390800 = 24 · 52 · 78 · 533 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 1 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109531,-13887600] |
[a1,a2,a3,a4,a6] |
j |
1575558498304/3721925 |
j-invariant |
L |
3.1496180372408 |
L(r)(E,1)/r! |
Ω |
0.26246814935716 |
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 |
103880o1 |
Quadratic twists by: -7 |