Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389j |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1309996233 = 36 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1955,33706] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-43:1] |
Generators of the group modulo torsion |
j |
1132995515625/1796977 |
j-invariant |
L |
3.2883575569991 |
L(r)(E,1)/r! |
Ω |
1.5260664757764 |
Real period |
R |
0.35913218823209 |
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 |
2821b1 |
Quadratic twists by: -3 |