Atkin-Lehner |
7+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74851b |
Isogeny class |
Conductor |
74851 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-88529337683731 = -1 · 73 · 178 · 37 |
Discriminant |
Eigenvalues |
2 0 -3 7+ -1 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11849,-671853] |
[a1,a2,a3,a4,a6] |
Generators |
[5056854:106906469:10648] |
Generators of the group modulo torsion |
j |
-7622111232/3667699 |
j-invariant |
L |
7.3600134736691 |
L(r)(E,1)/r! |
Ω |
0.22365637796359 |
Real period |
R |
8.2269210668905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004371 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4403d1 |
Quadratic twists by: 17 |