Atkin-Lehner |
3+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25665g |
Isogeny class |
Conductor |
25665 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66528 |
Modular degree for the optimal curve |
Δ |
-75197226575115 = -1 · 311 · 5 · 293 · 592 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 -1 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,6330,367346] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:265:1] |
Generators of the group modulo torsion |
j |
28045696596660224/75197226575115 |
j-invariant |
L |
2.2947436342536 |
L(r)(E,1)/r! |
Ω |
0.42951309999662 |
Real period |
R |
2.6713313683234 |
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 |
76995i1 128325r1 |
Quadratic twists by: -3 5 |