Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310cw |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
123672628800 = 26 · 32 · 52 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1471,-13735] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:101:1] |
Generators of the group modulo torsion |
j |
2992209121/1051200 |
j-invariant |
L |
12.926514442803 |
L(r)(E,1)/r! |
Ω |
0.79316000585331 |
Real period |
R |
1.3581238683475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2190m1 |
Quadratic twists by: -7 |