Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800o |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-378168750000 = -1 · 24 · 36 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 -4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4083,103338] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-75:1] |
Generators of the group modulo torsion |
j |
-1204725760/60507 |
j-invariant |
L |
7.6672240856556 |
L(r)(E,1)/r! |
Ω |
0.94161830028825 |
Real period |
R |
0.22618341928843 |
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 |
99600p1 49800x1 |
Quadratic twists by: -4 5 |