Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304n |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2039808 |
Modular degree for the optimal curve |
Δ |
-5.2242693596494E+19 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1880048,-1050755236] |
[a1,a2,a3,a4,a6] |
Generators |
[309312032409829578646189920:332404856958051025995773248399:267827232439922688000] |
Generators of the group modulo torsion |
j |
-6100178719130500/433648016263 |
j-invariant |
L |
9.5430377081487 |
L(r)(E,1)/r! |
Ω |
0.064202665094243 |
Real period |
R |
37.159819196191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000928 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10472b1 |
Quadratic twists by: -7 |