Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bb |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
182177100000000 = 28 · 37 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58575,5417750] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:2250:1] [-185:3150:1] |
Generators of the group modulo torsion |
j |
7622072656/62475 |
j-invariant |
L |
11.554126599195 |
L(r)(E,1)/r! |
Ω |
0.57200825398985 |
Real period |
R |
0.84163460622307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35700b2 21420m2 |
Quadratic twists by: -3 5 |