Atkin-Lehner |
3+ 5- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
95265b |
Isogeny class |
Conductor |
95265 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-7144875 = -1 · 33 · 53 · 29 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 5- -5 0 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] [1:9:1] |
Generators of the group modulo torsion |
j |
332812557/264625 |
j-invariant |
L |
6.695783036718 |
L(r)(E,1)/r! |
Ω |
1.5175323009015 |
Real period |
R |
0.73538061681139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95265a1 |
Quadratic twists by: -3 |