Atkin-Lehner |
3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049n |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
35642880 |
Modular degree for the optimal curve |
Δ |
9.9093122001074E+22 |
Discriminant |
Eigenvalues |
2 3- 3 7+ -2 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-386214684,2921233764089] |
[a1,a2,a3,a4,a6] |
Generators |
[79018:2119883:8] |
Generators of the group modulo torsion |
j |
1105161477715159807086592/17189339580164781 |
j-invariant |
L |
20.910136908426 |
L(r)(E,1)/r! |
Ω |
0.097448996995096 |
Real period |
R |
4.4703164299733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98049j1 |
Quadratic twists by: -7 |