Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304n |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-239017590784 = -1 · 216 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539,24010] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:160:1] |
Generators of the group modulo torsion |
j |
-35937/496 |
j-invariant |
L |
5.8823567849272 |
L(r)(E,1)/r! |
Ω |
0.83812915879507 |
Real period |
R |
1.7546092756706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038i1 97216bn1 496f1 |
Quadratic twists by: -4 8 -7 |