Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fb |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-21779883789447168 = -1 · 212 · 32 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38873,7701849] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:2904:1] |
Generators of the group modulo torsion |
j |
-39304000/131769 |
j-invariant |
L |
4.7328740361944 |
L(r)(E,1)/r! |
Ω |
0.33494653826371 |
Real period |
R |
1.766279648132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488ie2 51744bp1 103488hh2 |
Quadratic twists by: -4 8 -7 |