Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986i |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-3837545695760132096 = -1 · 211 · 133 · 318 |
Discriminant |
Eigenvalues |
2- 3 1 -3 0 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,305898,68060197] |
[a1,a2,a3,a4,a6] |
Generators |
[867:237881:27] |
Generators of the group modulo torsion |
j |
3566849562639/4323977216 |
j-invariant |
L |
13.476917450822 |
L(r)(E,1)/r! |
Ω |
0.1661451970847 |
Real period |
R |
1.8435295380318 |
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 |
806d1 |
Quadratic twists by: -31 |