Atkin-Lehner |
5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25075j |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
391796875 = 58 · 17 · 59 |
Discriminant |
Eigenvalues |
-1 -1 5- 0 -6 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-513,4156] |
[a1,a2,a3,a4,a6] |
Generators |
[10:7:1] [11:-5:1] |
Generators of the group modulo torsion |
j |
38226865/1003 |
j-invariant |
L |
4.2444267295768 |
L(r)(E,1)/r! |
Ω |
1.6836252254161 |
Real period |
R |
0.84033482541179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25075h1 |
Quadratic twists by: 5 |