Atkin-Lehner |
5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7225c |
Isogeny class |
Conductor |
7225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-10258466825 = -1 · 52 · 177 |
Discriminant |
Eigenvalues |
-1 -1 5+ 1 4 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-873,10696] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:152:1] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
2.2012269626869 |
L(r)(E,1)/r! |
Ω |
1.2447596043739 |
Real period |
R |
0.88419762135282 |
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 |
115600bi1 65025bj1 7225h1 425c1 |
Quadratic twists by: -4 -3 5 17 |