Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dh |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-11340121942195200 = -1 · 210 · 36 · 52 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17680,5048868] |
[a1,a2,a3,a4,a6] |
Generators |
[346:-7260:1] |
Generators of the group modulo torsion |
j |
1740010436132/32286699225 |
j-invariant |
L |
10.185061102378 |
L(r)(E,1)/r! |
Ω |
0.30086834605306 |
Real period |
R |
0.23508485549605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999057705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680k1 129360be1 |
Quadratic twists by: -4 -7 |