Atkin-Lehner |
2- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112336k |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3220950936813568 = -1 · 215 · 78 · 172 · 59 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26672,2164116] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-1904:1] [-1:1462:1] |
Generators of the group modulo torsion |
j |
512288054003375/786364974808 |
j-invariant |
L |
8.1960183655275 |
L(r)(E,1)/r! |
Ω |
0.30469070467968 |
Real period |
R |
1.6812168540257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14042d2 |
Quadratic twists by: -4 |