Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75888d |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-104497776 = -1 · 24 · 36 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 0 -4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99,621] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:9:1] [4:17:1] |
Generators of the group modulo torsion |
j |
-9199872/8959 |
j-invariant |
L |
9.3420916638778 |
L(r)(E,1)/r! |
Ω |
1.7180514721304 |
Real period |
R |
1.3594021796457 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37944k1 8432d1 |
Quadratic twists by: -4 -3 |