Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160bu |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
4837443140321280 = 232 · 37 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53787,3443146] |
[a1,a2,a3,a4,a6] |
Generators |
[-20230:868428:343] |
Generators of the group modulo torsion |
j |
5763259856089/1620049920 |
j-invariant |
L |
6.7926752719282 |
L(r)(E,1)/r! |
Ω |
0.4033323324408 |
Real period |
R |
8.4206927209807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9270u1 24720s1 |
Quadratic twists by: -4 -3 |