Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488dp |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1218762476661768192 = -1 · 224 · 36 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,241407,-27067041] |
[a1,a2,a3,a4,a6] |
j |
50447927375/39517632 |
j-invariant |
L |
3.6487960618727 |
L(r)(E,1)/r! |
Ω |
0.15203318187047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488fc1 3234p1 14784r1 |
Quadratic twists by: -4 8 -7 |