Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cu |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-6.1684318086768E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1546685,-1405842525] |
[a1,a2,a3,a4,a6] |
Generators |
[17510:594995:8] |
Generators of the group modulo torsion |
j |
-230979395175477481/348191894531250 |
j-invariant |
L |
10.12284863596 |
L(r)(E,1)/r! |
Ω |
0.064246872426974 |
Real period |
R |
4.3767148386465 |
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 |
76230s4 127050bd4 2310l5 |
Quadratic twists by: -3 5 -11 |