Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74060l |
Isogeny class |
Conductor |
74060 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
357696 |
Modular degree for the optimal curve |
Δ |
-17541660702944000 = -1 · 28 · 53 · 7 · 238 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 1 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32445,6768457] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:2645:1] |
Generators of the group modulo torsion |
j |
-188416/875 |
j-invariant |
L |
5.7290424315632 |
L(r)(E,1)/r! |
Ω |
0.33798966111121 |
Real period |
R |
0.62779067254568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74060e1 |
Quadratic twists by: -23 |