Atkin-Lehner |
2+ 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256r |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1016490384 = 24 · 35 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 2 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:13:1] |
Generators of the group modulo torsion |
j |
111052311808/63530649 |
j-invariant |
L |
4.1714540822917 |
L(r)(E,1)/r! |
Ω |
1.2981711654278 |
Real period |
R |
1.0711104444435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128i1 |
Quadratic twists by: -4 |