Atkin-Lehner |
2+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
24400k |
Isogeny class |
Conductor |
24400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
7442000 = 24 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103,348] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] [8:10:1] |
Generators of the group modulo torsion |
j |
61011968/3721 |
j-invariant |
L |
5.5311494508241 |
L(r)(E,1)/r! |
Ω |
2.3103753337368 |
Real period |
R |
2.3940480016634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12200e1 97600cq1 24400j1 |
Quadratic twists by: -4 8 5 |