Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
47400f |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
7678800 = 24 · 35 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -3 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [-3:3:1] |
Generators of the group modulo torsion |
j |
70236160/19197 |
j-invariant |
L |
10.248562610674 |
L(r)(E,1)/r! |
Ω |
1.7271027173294 |
Real period |
R |
0.59339624145358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800e1 47400v1 |
Quadratic twists by: -4 5 |