Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5775ba |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
471673125 = 34 · 54 · 7 · 113 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11- 3 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-308,-1906] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:16:1] |
Generators of the group modulo torsion |
j |
5186867200/754677 |
j-invariant |
L |
2.67010214644 |
L(r)(E,1)/r! |
Ω |
1.1503844577514 |
Real period |
R |
0.19342100000052 |
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 |
92400ey1 17325bs1 5775e1 40425br1 |
Quadratic twists by: -4 -3 5 -7 |