Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400da |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-1668346875000000 = -1 · 26 · 35 · 511 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29217,418563] |
[a1,a2,a3,a4,a6] |
Generators |
[18:975:1] |
Generators of the group modulo torsion |
j |
2758136205824/1668346875 |
j-invariant |
L |
8.9850853320689 |
L(r)(E,1)/r! |
Ω |
0.29058973110479 |
Real period |
R |
1.0306724992182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400be1 31200b1 12480d1 |
Quadratic twists by: -4 8 5 |