Atkin-Lehner |
2- 3- 5- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010v |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-842511132000 = -1 · 25 · 311 · 53 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1948,-29721] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-429:1] [214:1509:8] |
Generators of the group modulo torsion |
j |
1121946206471/1155708000 |
j-invariant |
L |
16.370177239968 |
L(r)(E,1)/r! |
Ω |
0.48345148598092 |
Real period |
R |
0.56435091264735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35670b1 |
Quadratic twists by: -3 |