Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720q |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
2376192 |
Modular degree for the optimal curve |
Δ |
-1.7434459228078E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48725776,132430216724] |
[a1,a2,a3,a4,a6] |
Generators |
[6524:303750:1] |
Generators of the group modulo torsion |
j |
-3123489613629729792582289/42564597724800000000 |
j-invariant |
L |
6.0226413242914 |
L(r)(E,1)/r! |
Ω |
0.10189872234797 |
Real period |
R |
0.86917924708164 |
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 |
3090h1 98880bj1 74160bp1 123600be1 |
Quadratic twists by: -4 8 -3 5 |