Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525g |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
68947265625 = 3 · 59 · 7 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1025,0] |
[a1,a2,a3,a4,a6] |
Generators |
[196:2618:1] |
Generators of the group modulo torsion |
j |
7633736209/4412625 |
j-invariant |
L |
4.9801262635771 |
L(r)(E,1)/r! |
Ω |
0.93090017202476 |
Real period |
R |
5.3497962652054 |
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 |
64575bc1 4305g1 |
Quadratic twists by: -3 5 |