Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
10045h |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
120590225 = 52 · 76 · 41 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] |
Generators of the group modulo torsion |
j |
1771561/1025 |
j-invariant |
L |
2.990390562593 |
L(r)(E,1)/r! |
Ω |
1.5760150641906 |
Real period |
R |
1.8974378040788 |
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 |
90405bm1 50225l1 205c1 |
Quadratic twists by: -3 5 -7 |