Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215cc |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
2573565114529793475 = 314 · 52 · 73 · 137 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-351524,-21888709] |
[a1,a2,a3,a4,a6] |
Generators |
[-519:4822:1] |
Generators of the group modulo torsion |
j |
2901567289447/1554464925 |
j-invariant |
L |
8.5696317586291 |
L(r)(E,1)/r! |
Ω |
0.2085681452821 |
Real period |
R |
1.467425806076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999471189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124215bb2 9555v2 |
Quadratic twists by: -7 13 |