Atkin-Lehner |
3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55473p |
Isogeny class |
Conductor |
55473 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-4095824713299 = -1 · 32 · 115 · 414 |
Discriminant |
Eigenvalues |
0 3- -1 -4 11+ 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-19051,1010452] |
[a1,a2,a3,a4,a6] |
Generators |
[68:184:1] |
Generators of the group modulo torsion |
j |
-270622818304/1449459 |
j-invariant |
L |
4.7929529726271 |
L(r)(E,1)/r! |
Ω |
0.78498812909796 |
Real period |
R |
1.0176274848264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55473c1 |
Quadratic twists by: 41 |