Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900bl |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37248 |
Modular degree for the optimal curve |
Δ |
-41184000 = -1 · 28 · 32 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9373,-352417] |
[a1,a2,a3,a4,a6] |
Generators |
[113:210:1] |
Generators of the group modulo torsion |
j |
-2846137769984/1287 |
j-invariant |
L |
8.3058637646805 |
L(r)(E,1)/r! |
Ω |
0.24260292449002 |
Real period |
R |
2.8530377990221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700cg1 42900j1 |
Quadratic twists by: -3 5 |