Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
47400j |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
155495700000000 = 28 · 39 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -1 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424708,-106672912] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:36:1] |
Generators of the group modulo torsion |
j |
84721972724560/1554957 |
j-invariant |
L |
5.2495759499861 |
L(r)(E,1)/r! |
Ω |
0.18701538571209 |
Real period |
R |
1.5594605076021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800m1 47400p1 |
Quadratic twists by: -4 5 |