Atkin-Lehner |
3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44649h |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-23880534214779 = -1 · 36 · 117 · 412 |
Discriminant |
Eigenvalues |
0 3- 3 -4 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2904,227268] |
[a1,a2,a3,a4,a6] |
Generators |
[78:963:1] |
Generators of the group modulo torsion |
j |
2097152/18491 |
j-invariant |
L |
6.0498218173869 |
L(r)(E,1)/r! |
Ω |
0.49360847178837 |
Real period |
R |
3.0640792060749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4961c1 4059e1 |
Quadratic twists by: -3 -11 |