Atkin-Lehner |
2- 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420g |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
11749438800 = 24 · 38 · 52 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-605,-2178] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:55:1] |
Generators of the group modulo torsion |
j |
1533160062976/734339925 |
j-invariant |
L |
4.8384158216328 |
L(r)(E,1)/r! |
Ω |
1.0092802787903 |
Real period |
R |
0.79898780733665 |
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 |
97680cy1 73260o1 122100q1 |
Quadratic twists by: -4 -3 5 |