Atkin-Lehner |
3+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
96195a |
Isogeny class |
Conductor |
96195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
176048874375 = 3 · 54 · 116 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-102671,12619718] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1454:1] [1678:4007:8] |
Generators of the group modulo torsion |
j |
67563360340489/99375 |
j-invariant |
L |
4.9534381535146 |
L(r)(E,1)/r! |
Ω |
0.86328426617272 |
Real period |
R |
2.8689496312416 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
795a3 |
Quadratic twists by: -11 |