Atkin-Lehner |
3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2415h |
Isogeny class |
Conductor |
2415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
8150625 = 34 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-280,1775] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:65:1] |
Generators of the group modulo torsion |
j |
2428257525121/8150625 |
j-invariant |
L |
2.5188841224333 |
L(r)(E,1)/r! |
Ω |
2.3412739492996 |
Real period |
R |
1.0758604832155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640cb1 7245i1 12075i1 16905c1 |
Quadratic twists by: -4 -3 5 -7 |