Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25168v |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-93504976449437696 = -1 · 225 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 -3 -5 11- 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25128,14640404] |
[a1,a2,a3,a4,a6] |
Generators |
[1558:61952:1] |
Generators of the group modulo torsion |
j |
241804367/12886016 |
j-invariant |
L |
2.9151200333251 |
L(r)(E,1)/r! |
Ω |
0.25721427574753 |
Real period |
R |
1.4166787714509 |
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 |
3146d1 100672ea1 2288k1 |
Quadratic twists by: -4 8 -11 |