Atkin-Lehner |
2+ 7+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
103376a |
Isogeny class |
Conductor |
103376 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1098496 |
Modular degree for the optimal curve |
Δ |
-1483159434469137152 = -1 · 28 · 72 · 13 · 717 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,101527,57289427] |
[a1,a2,a3,a4,a6] |
j |
452089197310592000/5793591540895067 |
j-invariant |
L |
2.7822664202488 |
L(r)(E,1)/r! |
Ω |
0.19873332901142 |
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 |
51688b1 |
Quadratic twists by: -4 |