Atkin-Lehner |
2+ 3+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778f |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
68544 |
Modular degree for the optimal curve |
Δ |
-5384016 = -1 · 24 · 33 · 112 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -3 0 11- -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5964,174816] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-24:1] |
Generators of the group modulo torsion |
j |
-193938941698513/44496 |
j-invariant |
L |
1.7712249762301 |
L(r)(E,1)/r! |
Ω |
1.9190618144165 |
Real period |
R |
0.4614820020469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74778bf1 |
Quadratic twists by: -11 |