Atkin-Lehner |
3+ 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325c |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2356117308638671875 = -1 · 3 · 59 · 116 · 613 |
Discriminant |
Eigenvalues |
0 3+ 5+ -5 11+ -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-610633,-197750082] |
[a1,a2,a3,a4,a6] |
j |
-1611555289368887296/150791507752875 |
j-invariant |
L |
1.0192958640285 |
L(r)(E,1)/r! |
Ω |
0.084941321930479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10065k2 |
Quadratic twists by: 5 |