Atkin-Lehner |
2+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25520b |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
24626162000 = 24 · 53 · 114 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ 2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1211,13960] |
[a1,a2,a3,a4,a6] |
Generators |
[202:87:8] |
Generators of the group modulo torsion |
j |
12285553690624/1539135125 |
j-invariant |
L |
3.4660715294828 |
L(r)(E,1)/r! |
Ω |
1.1535501825089 |
Real period |
R |
3.0046993897954 |
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 |
12760b1 102080bx1 127600e1 |
Quadratic twists by: -4 8 5 |