Atkin-Lehner |
3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525o |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
4412625 = 3 · 53 · 7 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-70,175] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
310288733/35301 |
j-invariant |
L |
4.5330813758308 |
L(r)(E,1)/r! |
Ω |
2.3746267228751 |
Real period |
R |
1.9089658733151 |
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 |
64575bk1 21525be1 |
Quadratic twists by: -3 5 |