Atkin-Lehner |
2+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98758a |
Isogeny class |
Conductor |
98758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
127296 |
Modular degree for the optimal curve |
Δ |
1639692505088 = 212 · 113 · 673 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11+ -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3287,-37475] |
[a1,a2,a3,a4,a6] |
Generators |
[806:6029:8] |
Generators of the group modulo torsion |
j |
13060888875/5451776 |
j-invariant |
L |
2.7166317380482 |
L(r)(E,1)/r! |
Ω |
0.65430377609713 |
Real period |
R |
4.1519425694914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000135063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98758e1 |
Quadratic twists by: -67 |