Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75645b |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1157184 |
Modular degree for the optimal curve |
Δ |
9060295034352870675 = 33 · 52 · 4110 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 3 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-529830,-32452099] |
[a1,a2,a3,a4,a6] |
Generators |
[-17340:184943:27] |
Generators of the group modulo torsion |
j |
45387/25 |
j-invariant |
L |
6.8479173020192 |
L(r)(E,1)/r! |
Ω |
0.18931309892298 |
Real period |
R |
9.0431107830299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75645e1 75645c1 |
Quadratic twists by: -3 41 |