Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
29880g |
Isogeny class |
Conductor |
29880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1602,38529] |
[a1,a2,a3,a4,a6] |
Generators |
[28:125:1] |
Generators of the group modulo torsion |
j |
-38981965824/32421875 |
j-invariant |
L |
6.5838857011675 |
L(r)(E,1)/r! |
Ω |
0.87250501347793 |
Real period |
R |
0.4716223402347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59760p1 3320b1 |
Quadratic twists by: -4 -3 |