Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24050q |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-610644531250 = -1 · 2 · 511 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 1 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1855,-48103] |
[a1,a2,a3,a4,a6] |
Generators |
[982:9505:8] |
Generators of the group modulo torsion |
j |
-45156047481/39081250 |
j-invariant |
L |
7.7931662321239 |
L(r)(E,1)/r! |
Ω |
0.35100610767894 |
Real period |
R |
2.7752958074066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4810c1 |
Quadratic twists by: 5 |