Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488fy |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-5283063477831763008 = -1 · 26 · 321 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185908,114871450] |
[a1,a2,a3,a4,a6] |
j |
-226591821421000000/1684650343696353 |
j-invariant |
L |
1.0378847455624 |
L(r)(E,1)/r! |
Ω |
0.20757699211721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488hi1 51744bg1 103488hb1 |
Quadratic twists by: -4 8 -7 |