Atkin-Lehner |
2+ 3+ 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950q |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-47580000 = -1 · 25 · 3 · 54 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,325] |
[a1,a2,a3,a4,a6] |
Generators |
[9:26:1] |
Generators of the group modulo torsion |
j |
-2941225/76128 |
j-invariant |
L |
4.5018433194787 |
L(r)(E,1)/r! |
Ω |
1.6853147023583 |
Real period |
R |
2.6712182247854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999378935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950bo1 |
Quadratic twists by: 5 |