Atkin-Lehner |
2+ 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45288h |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-468607361577984 = -1 · 210 · 312 · 17 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 -5 -6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11091,1134398] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:972:1] [127:1332:1] |
Generators of the group modulo torsion |
j |
-202119559492/627742629 |
j-invariant |
L |
9.7929032822731 |
L(r)(E,1)/r! |
Ω |
0.4622390690898 |
Real period |
R |
0.88274155961083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576k1 15096d1 |
Quadratic twists by: -4 -3 |