Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215p |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1441440 |
Modular degree for the optimal curve |
Δ |
-460246036355063595 = -1 · 311 · 5 · 72 · 139 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 4 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,71769,31766321] |
[a1,a2,a3,a4,a6] |
Generators |
[-91427317:530698458:389017] |
Generators of the group modulo torsion |
j |
78675968/885735 |
j-invariant |
L |
4.7800633241736 |
L(r)(E,1)/r! |
Ω |
0.21836983323063 |
Real period |
R |
10.944880165729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215co1 124215bl1 |
Quadratic twists by: -7 13 |