Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100a |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
13655250000 = 24 · 33 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-600,625] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:75:1] [0:25:1] |
Generators of the group modulo torsion |
j |
3538944/2023 |
j-invariant |
L |
11.046945956986 |
L(r)(E,1)/r! |
Ω |
1.0759955437833 |
Real period |
R |
0.85556007646847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000324 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100c1 4284d1 |
Quadratic twists by: -3 5 |