Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
94192bf |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2024640 |
Modular degree for the optimal curve |
Δ |
-3314086375791263744 = -1 · 249 · 7 · 292 |
Discriminant |
Eigenvalues |
2- -1 3 7- 2 -7 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-870744,325064176] |
[a1,a2,a3,a4,a6] |
Generators |
[243090:11300477:1000] |
Generators of the group modulo torsion |
j |
-21195308337309457/962072674304 |
j-invariant |
L |
5.5750770451073 |
L(r)(E,1)/r! |
Ω |
0.24890245475884 |
Real period |
R |
11.19932110827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774a1 94192bi1 |
Quadratic twists by: -4 29 |