Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736i |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
322570512 = 24 · 34 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- -7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-524,-4365] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:9:1] [27:21:1] |
Generators of the group modulo torsion |
j |
68054272/1377 |
j-invariant |
L |
8.9221244290076 |
L(r)(E,1)/r! |
Ω |
0.99892255829405 |
Real period |
R |
4.4658739335336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49368be1 98736s1 |
Quadratic twists by: -4 -11 |