Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736a |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
9.9234139871629E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8219812,-8940445952] |
[a1,a2,a3,a4,a6] |
Generators |
[4446852937022421917896080:-904129965869533055699994712:107042982019192957375] |
Generators of the group modulo torsion |
j |
101750203666928/1643943843 |
j-invariant |
L |
6.7640259179484 |
L(r)(E,1)/r! |
Ω |
0.089250253273889 |
Real period |
R |
37.893594971051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368bc1 98736b1 |
Quadratic twists by: -4 -11 |