Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300c |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1188000 |
Modular degree for the optimal curve |
Δ |
-8.65722309325E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 4 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1577708,-883896088] |
[a1,a2,a3,a4,a6] |
j |
-173725616606800/34628892373 |
j-invariant |
L |
3.265264808682 |
L(r)(E,1)/r! |
Ω |
0.066638057331975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300s1 |
Quadratic twists by: 5 |