Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107916m |
Isogeny class |
Conductor |
107916 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-28531263744 = -1 · 28 · 36 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -6 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1004,-15036] |
[a1,a2,a3,a4,a6] |
Generators |
[40:102:1] |
Generators of the group modulo torsion |
j |
-827297488/210681 |
j-invariant |
L |
12.473902723984 |
L(r)(E,1)/r! |
Ω |
0.41843840049443 |
Real period |
R |
0.82807241559641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107916j1 |
Quadratic twists by: -23 |