Atkin-Lehner |
2- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300o |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42480 |
Modular degree for the optimal curve |
Δ |
3081250000 = 24 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3 5- -2 1 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1000,-11875] |
[a1,a2,a3,a4,a6] |
Generators |
[-3450:1025:216] |
Generators of the group modulo torsion |
j |
17694720/493 |
j-invariant |
L |
10.680673949629 |
L(r)(E,1)/r! |
Ω |
0.85043027557543 |
Real period |
R |
4.186380414842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300j1 |
Quadratic twists by: 5 |