Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960ew |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-214932561592320 = -1 · 218 · 36 · 5 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14973,-14974] |
[a1,a2,a3,a4,a6] |
j |
124326214271/71980480 |
j-invariant |
L |
4.0112493426697 |
L(r)(E,1)/r! |
Ω |
0.33427080112524 |
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 |
12870w1 11440i1 |
Quadratic twists by: -4 -3 |