Atkin-Lehner |
2- 3+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41736d |
Isogeny class |
Conductor |
41736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-5336865792 = -1 · 210 · 34 · 372 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-872,10812] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:112:1] |
Generators of the group modulo torsion |
j |
-71692076452/5211783 |
j-invariant |
L |
6.4355805989709 |
L(r)(E,1)/r! |
Ω |
1.3339675194747 |
Real period |
R |
2.4121953889526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83472g1 125208c1 |
Quadratic twists by: -4 -3 |