Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525be |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
68947265625 = 3 · 59 · 7 · 412 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1763,25392] |
[a1,a2,a3,a4,a6] |
Generators |
[33:42:1] |
Generators of the group modulo torsion |
j |
310288733/35301 |
j-invariant |
L |
3.7730010537936 |
L(r)(E,1)/r! |
Ω |
1.0619653547073 |
Real period |
R |
3.5528475925033 |
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 |
64575bn1 21525o1 |
Quadratic twists by: -3 5 |