Atkin-Lehner |
3+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
118041b |
Isogeny class |
Conductor |
118041 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-2272716440379 = -1 · 37 · 76 · 112 · 73 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 11+ 6 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1584,-75958] |
[a1,a2,a3,a4,a6] |
Generators |
[55:16:1] |
Generators of the group modulo torsion |
j |
-3738308608/19317771 |
j-invariant |
L |
4.4387880306076 |
L(r)(E,1)/r! |
Ω |
0.34102716835272 |
Real period |
R |
3.2539841024816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000210128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2409d1 |
Quadratic twists by: -7 |