Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bl |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
2749824 |
Modular degree for the optimal curve |
Δ |
2603858774876190720 = 211 · 312 · 5 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-741616,232928849] |
[a1,a2,a3,a4,a6] |
Generators |
[2813:141477:1] |
Generators of the group modulo torsion |
j |
7824862258847809/451682334720 |
j-invariant |
L |
9.4483373119571 |
L(r)(E,1)/r! |
Ω |
0.25245843153113 |
Real period |
R |
0.56705028348529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010dr1 |
Quadratic twists by: -7 |