Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824ba |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-83758558464 = -1 · 28 · 33 · 76 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -6 5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3951,-96598] |
[a1,a2,a3,a4,a6] |
j |
-986827109616/12117847 |
j-invariant |
L |
1.2034697506639 |
L(r)(E,1)/r! |
Ω |
0.30086750337669 |
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 |
25956e1 103824bb2 |
Quadratic twists by: -4 -3 |