Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100n |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
155541832031250000 = 24 · 39 · 512 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-483300,127922625] |
[a1,a2,a3,a4,a6] |
j |
2537130442752/31609375 |
j-invariant |
L |
3.9050560317176 |
L(r)(E,1)/r! |
Ω |
0.32542136044489 |
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 |
107100i1 21420f1 |
Quadratic twists by: -3 5 |