Atkin-Lehner |
3- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475bk |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
2.8917770686935E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4337442,3468396591] |
[a1,a2,a3,a4,a6] |
Generators |
[1119670:-361207479:6859] |
Generators of the group modulo torsion |
j |
792277377846851161/2538734326425 |
j-invariant |
L |
8.8727517793786 |
L(r)(E,1)/r! |
Ω |
0.21063852688653 |
Real period |
R |
10.530779800837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33825t1 20295k1 |
Quadratic twists by: -3 5 |