Atkin-Lehner |
3+ 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325f |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
42737719921875 = 35 · 58 · 112 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-809650,280073125] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:19025:1] [516:-137:1] |
Generators of the group modulo torsion |
j |
3756613240458777889/2735214075 |
j-invariant |
L |
9.7883756337823 |
L(r)(E,1)/r! |
Ω |
0.53297013823296 |
Real period |
R |
9.182855596971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065i2 |
Quadratic twists by: 5 |