Atkin-Lehner |
5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
75205c |
Isogeny class |
Conductor |
75205 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
205920 |
Modular degree for the optimal curve |
Δ |
-61347028872805 = -1 · 5 · 1310 · 89 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-595,376830] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:217:1] |
Generators of the group modulo torsion |
j |
-169/445 |
j-invariant |
L |
2.425889725959 |
L(r)(E,1)/r! |
Ω |
0.50074091222415 |
Real period |
R |
4.844600605589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75205b1 |
Quadratic twists by: 13 |