Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525c |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1089703125 = -1 · 35 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-175,1750] |
[a1,a2,a3,a4,a6] |
Generators |
[6:28:1] |
Generators of the group modulo torsion |
j |
-38272753/69741 |
j-invariant |
L |
3.9573519699941 |
L(r)(E,1)/r! |
Ω |
1.3846472330746 |
Real period |
R |
2.8580217946248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575u1 861d1 |
Quadratic twists by: -3 5 |