Atkin-Lehner |
3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
65025bd |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
190944 |
Modular degree for the optimal curve |
Δ |
117715906816875 = 33 · 54 · 178 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 4 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23030,1245522] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:1625:1] |
Generators of the group modulo torsion |
j |
11475 |
j-invariant |
L |
5.240460523065 |
L(r)(E,1)/r! |
Ω |
0.57552470878844 |
Real period |
R |
1.5175892084456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65025bc1 65025r1 65025z1 |
Quadratic twists by: -3 5 17 |