Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44400dk |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-94625280000 = -1 · 212 · 33 · 54 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,15363] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:111:1] |
Generators of the group modulo torsion |
j |
-6553600/36963 |
j-invariant |
L |
7.3868684063455 |
L(r)(E,1)/r! |
Ω |
0.92407957873435 |
Real period |
R |
1.3322929785748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2775e1 44400bb1 |
Quadratic twists by: -4 5 |