Atkin-Lehner |
2- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
106640d |
Isogeny class |
Conductor |
106640 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-1493323524669440 = -1 · 216 · 5 · 31 · 435 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -3 -2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47240,-4351760] |
[a1,a2,a3,a4,a6] |
Generators |
[762:20038:1] |
Generators of the group modulo torsion |
j |
-2846443870548361/364580938640 |
j-invariant |
L |
4.9655742192856 |
L(r)(E,1)/r! |
Ω |
0.16076648407934 |
Real period |
R |
3.0886874371796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13330a1 |
Quadratic twists by: -4 |