Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300b |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4464 |
Modular degree for the optimal curve |
Δ |
197200 = 24 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -5 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,82] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] [3:1:1] |
Generators of the group modulo torsion |
j |
10240000/493 |
j-invariant |
L |
8.1058417571536 |
L(r)(E,1)/r! |
Ω |
3.1413752737949 |
Real period |
R |
0.86011603736876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300r1 |
Quadratic twists by: 5 |