Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818a |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2068416 |
Modular degree for the optimal curve |
Δ |
984142315613192832 = 27 · 39 · 198 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 0 6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1014417,-390769515] |
[a1,a2,a3,a4,a6] |
Generators |
[5021338:168520479:2744] |
Generators of the group modulo torsion |
j |
6797436034681/57946752 |
j-invariant |
L |
1.9665628925951 |
L(r)(E,1)/r! |
Ω |
0.1505111638721 |
Real period |
R |
13.065893864449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818bg1 |
Quadratic twists by: -19 |