Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800cl |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-2485782191200000000 = -1 · 211 · 58 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 5 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10208,-75853588] |
[a1,a2,a3,a4,a6] |
Generators |
[77745836299:1975499528100:99252847] |
Generators of the group modulo torsion |
j |
-1250/26411 |
j-invariant |
L |
10.677937347643 |
L(r)(E,1)/r! |
Ω |
0.11735183379367 |
Real period |
R |
15.165133488551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800w1 15400s1 |
Quadratic twists by: 5 -7 |