Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bm |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1819902538461130200 = 23 · 34 · 52 · 78 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1474206,-686496381] |
[a1,a2,a3,a4,a6] |
Generators |
[1711:41615:1] |
Generators of the group modulo torsion |
j |
200005594092187129/1027287538200 |
j-invariant |
L |
6.2982179134032 |
L(r)(E,1)/r! |
Ω |
0.13705481150519 |
Real period |
R |
3.8295006721726 |
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 |
76230by4 127050dq4 2310c3 |
Quadratic twists by: -3 5 -11 |