Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410w |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-462004968015360000 = -1 · 212 · 33 · 54 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,192266,-4046968] |
[a1,a2,a3,a4,a6] |
Generators |
[46:2189:1] |
Generators of the group modulo torsion |
j |
443688652450511/260789760000 |
j-invariant |
L |
3.9394788794104 |
L(r)(E,1)/r! |
Ω |
0.17398492536314 |
Real period |
R |
3.7737741466088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230ej1 127050ga1 2310t1 |
Quadratic twists by: -3 5 -11 |