Atkin-Lehner |
3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24843h |
Isogeny class |
Conductor |
24843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
20346417 = 33 · 73 · 133 |
Discriminant |
Eigenvalues |
1 3+ -2 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-81,-216] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
79507/27 |
j-invariant |
L |
3.468867728324 |
L(r)(E,1)/r! |
Ω |
1.6325564116369 |
Real period |
R |
2.124807267668 |
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 |
74529bl1 24843u1 24843i1 |
Quadratic twists by: -3 -7 13 |