Atkin-Lehner |
2+ 3+ 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010b |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-112309967812500000 = -1 · 25 · 39 · 510 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33060,-15965200] |
[a1,a2,a3,a4,a6] |
Generators |
[42055:-740781:125] |
Generators of the group modulo torsion |
j |
203017547935917/5705937500000 |
j-invariant |
L |
3.0499666339844 |
L(r)(E,1)/r! |
Ω |
0.16096693892187 |
Real period |
R |
9.4738915157773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010bi2 |
Quadratic twists by: -3 |