Atkin-Lehner |
2- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107822n |
Isogeny class |
Conductor |
107822 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-19865378014768 = -1 · 24 · 117 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 11- 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29581,1977317] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:1418:1] [-674:16063:8] |
Generators of the group modulo torsion |
j |
-1302922084800861/9042047344 |
j-invariant |
L |
14.579052664804 |
L(r)(E,1)/r! |
Ω |
0.68822013782474 |
Real period |
R |
0.37828045396722 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107822c1 |
Quadratic twists by: 13 |