Atkin-Lehner |
3+ 5+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
25185a |
Isogeny class |
Conductor |
25185 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
229813125 = 3 · 54 · 23 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-406,2894] |
[a1,a2,a3,a4,a6] |
Generators |
[19:40:1] |
Generators of the group modulo torsion |
j |
7402333827169/229813125 |
j-invariant |
L |
2.2881439991159 |
L(r)(E,1)/r! |
Ω |
1.7563851500906 |
Real period |
R |
1.302757540963 |
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 |
75555e2 125925s2 |
Quadratic twists by: -3 5 |