Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ef |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-507985627742208 = -1 · 215 · 32 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10911,-988065] |
[a1,a2,a3,a4,a6] |
Generators |
[87:792:1] [90:855:1] |
Generators of the group modulo torsion |
j |
37259704/131769 |
j-invariant |
L |
12.092449183285 |
L(r)(E,1)/r! |
Ω |
0.26601361813717 |
Real period |
R |
2.8411255004107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bf3 51744by2 2112f4 |
Quadratic twists by: -4 8 -7 |