Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3843h |
Isogeny class |
Conductor |
3843 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-311283 = -1 · 36 · 7 · 61 |
Discriminant |
Eigenvalues |
0 3- -4 7- 2 2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,31] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
-262144/427 |
j-invariant |
L |
2.282661718803 |
L(r)(E,1)/r! |
Ω |
2.7430317277488 |
Real period |
R |
0.41608372511906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61488x1 427a1 96075m1 26901r1 |
Quadratic twists by: -4 -3 5 -7 |