Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350h |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3664914983308800 = -1 · 29 · 33 · 52 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-568350,-165182220] |
[a1,a2,a3,a4,a6] |
Generators |
[131158:16710713:8] |
Generators of the group modulo torsion |
j |
-168256703745625/30371328 |
j-invariant |
L |
2.3051070710837 |
L(r)(E,1)/r! |
Ω |
0.086938229277109 |
Real period |
R |
6.6285772388356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050fa2 25350dl2 1950o2 |
Quadratic twists by: -3 5 13 |