Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446bm |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
1.6593204263924E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22465423,-40947009643] |
[a1,a2,a3,a4,a6] |
Generators |
[13467:1442098:1] |
Generators of the group modulo torsion |
j |
10658087323714628358625/14103990908485632 |
j-invariant |
L |
8.6570369760421 |
L(r)(E,1)/r! |
Ω |
0.069351429265193 |
Real period |
R |
3.4674591696428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778w1 |
Quadratic twists by: -7 |