Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198s |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
411600 |
Modular degree for the optimal curve |
Δ |
-3730419548789318 = -1 · 2 · 710 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- 11- 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4352,-2937586] |
[a1,a2,a3,a4,a6] |
Generators |
[14241:318991:27] |
Generators of the group modulo torsion |
j |
32266647/13206182 |
j-invariant |
L |
6.9566498895192 |
L(r)(E,1)/r! |
Ω |
0.20734415612129 |
Real period |
R |
6.7102444743508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198f1 |
Quadratic twists by: -7 |