Atkin-Lehner |
2- 3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488bs |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-122691836016994608 = -1 · 24 · 39 · 72 · 132 · 196 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130350,-24741187] |
[a1,a2,a3,a4,a6] |
Generators |
[661:13338:1] |
Generators of the group modulo torsion |
j |
-20999517088000000/10518847395147 |
j-invariant |
L |
6.6331209002468 |
L(r)(E,1)/r! |
Ω |
0.1227156689458 |
Real period |
R |
1.1260991992701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000016046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496i1 |
Quadratic twists by: -3 |